Firstly, the word apostles or disciples are sometimes used loosely, as those giving a message to others. However, it is clearly in the strictest sense that there are only 12 true Apostles – Rev 21:14 The wall of the city had twelve foundations bearing the names of the twelve apostles of the Lamb.
The only Apostle left at the time was John – no one else could identify themselves as an apostle unless it was used as a loose term.
Also, that everything has been written and cannot be changed.
Jude 3 Dear friends, although I was very eager to write to you about the salvation we share, I felt compelled to write and urge you to contend for the faith that was once for all entrusted to God’s holy people. 4 For certain individuals whose condemnation was written about[b] long ago have secretly slipped in among you. They are ungodly people, who pervert the grace of our God into a license for immorality and deny Jesus Christ our only Sovereign and Lord.
Nicolaitans
Rev 2:6 are clearly identified as those not liked – but the false apostles appear to relate to others beside them. Also, they did not claim to be apostles and Nicolas and the 7 Deacons were chosen to help in the works and follow the apostles.
It appears that the Nicolaitans were already well know so it would not be hard to reject them and would have no need to test then. You would only test those who you did not know and see if they are true or false.
4 Yet I hold this against you: You have forsaken the love you had at first. 5 Consider how far you have fallen! Repent and do the things you did at first. If you do not repent, I will come to you and remove your lampstand from its place. 6 But you have this in your favor: You hate the practices of the Nicolaitans, which I also hate.
The 7 Deacons were of the Holy spirit & with wisdom and highly respected. If they were the followers of Nicolas (1 of the 7) or another – arguably not relevant to this Q.
These letters appear to be of great importance and John has been asked to write to the churches.
Rev 1:10-11 - 10 On the Lord’s Day I was in the Spirit, and I heard behind me a loud voice like a trumpet, 11 which said: “Write on a scroll what you see and send it to the seven churches: to Ephesus, Smyrna, Pergamum, Thyatira, Sardis, Philadelphia and Laodicea.”
1 John 4:1 Beloved, believe not every spirit, but try the spirits whether they are of God: because many false prophets are gone out into the world. (many warnings in the bible)
The only other person that can be identified as an apostle who was rejected is Paul, so what evidence and if any that this could relate to Paul.
Paul
Paul calls himself an Apostle and goes to Ephesus.
Ephesians 1:1 – Salutation - 1 Paul, an apostle of Christ Jesus by the will of God, To the saints who are also faithful in Christ Jesus:
Ephesians 1:10 - as a plan for the fulness of time, to unite all things in him, things in heaven and things on earth.
Acts 19:1 While Apollos was at Corinth, Paul took the road through the interior and arrived at Ephesus. There he found some disciples
Paul was forbidden to go to Asia – but still went
Acts 16:6 6 Now when they had gone through Phrygia and the region of Galatia, they were forbidden by the Holy Spirit to preach the word in Asia.
Paul preached / argued – clearly no agreement
Acts 19:8-9 -8 And he entered the synagogue and for three months spoke boldly, arguing and pleading about the kingdom of God; 9 but when some were stubborn and disbelieved, speaking evil of the Way before the congregation, he withdrew from them, taking the disciples with him, and argued daily in the hall of Tyran′nus.
Paul confirms that Asia has deserted him
2 Timothy 1:15 - 15You know that everyone in the Province of Asia has deserted me, including Phygelus and Hermogenes.
Ephesians ask the elders / apostles for help
Acts 21: 27-28 27 When the seven days were almost completed, the Jews from Asia, who had seen him in the temple, stirred up all the crowd, and laid hands on him, 28 crying out, “Men of Israel, help! This is the man who is teaching men everywhere against the people and the law and this place; moreover he also brought Greeks into the temple, and he has defiled this holy place.”
James contradicts Pauls teachings
James clearly seems to be the Judge and has final decision above even Peter. It also appears that James is responding to the complaint by the Ephesians and directs points of doctrine to Paul.
Panarion 29.3.4. He says that "James having been ordained at once the first bishop, he who is called the brother of the Lord.... [W]e find as well that he is of David's stock through being Joseph's son...." 5 To the same effect is Clement of Alexandria, who said the apostles did not pick from their own number "because the savior [already] had specifically honored them, but [instead] chose James the Just as Bishop of Jerusalem."
Acts 15:19 “It is my judgment, therefore, that we should not make it difficult for the Gentiles who are turning to God.
James 2: 20: "But will you know, O vain man, that faith without works is dead?"
James 2:14 14 What good is it, my brothers and sisters, if someone claims to have faith but has no deeds? Can such faith save them?
J 2:17 In the same way, faith by itself, if it is not accompanied by action, is dead.
J2:24 You see that a person is considered righteous by what they do and not by faith alone.
Others
But if you want to enter into life, keep the commandments.”— Mat 19:17
Blessed are those who do His commandments, that they may have the right to the tree of life, and may enter through the gates into the city. — Rev 22:14
Matthew 5:17-19 - 17 Do not think that I have come to abolish the Law or the Prophets; I have not come to abolish them but to fulfill them. 18 For truly, I say to you, until heaven and earth pass away, not an iota, not a dot, will pass from the Law until all is accomplished. 19Therefore whoever relaxes one of the least of these commandments and teaches others to do the same will be called least in the kingdom of heaven, but whoever does them and teaches them will be called great in the kingdom of heaven.
Genesis 17:10-12 - 10 This is My covenant, which you shall keep, between Me and you and your descendants after you: every male among you shall be circumcised. etc…
Luke 16:17 It is easier for heaven and earth to disappear than for the least stroke of a pen to drop out of the Law.
So on …..
Pauls says faith only – only a few examples
Ephesians 2:8-9 8 For it is by grace you have been saved, through faith—and this is not from yourselves, it is the gift of God— 9 not by works, so that no one can boast.
Romans 3:28 For we maintain that a person is justified by faith apart from the works of the law.
Romans 4:5 "To the man who does not work, but trusts God who justifies the wicked, his faith is credited as righteousness".
Romans 7:6 “But now we are released from the Law.. we serve not under the old written code but under the new life of the Spirit”.
Summary / conclusion
Arguably the only person that we have enough information as a ‘possible false apostle’ is Paul.
He went to Ephesus as an apostle even though the HS forbid him (Paul seems to be stronger than the HS). Paul argued with them and they complained to the apostles regarding Paul’s teachings. He is rejected by all of Asia. James is clear about the Law which is contradictory to Paul’s teachings.
There is ample evidence that Paul could certainly fall into the category of the ‘False apostle’ as mentioned in Revelations.
For more on Paul and the Law see: https://hermeneutics.stackexchange.com/a/78251/33268