Background
Based on Paul's Gospel, one could make the argument a breastplate of righteousness and a breastplate of faith and love are two ways of describing the same thing:
5We eagerly wait for the hope of righteousness through the Spirit by faith. 6 Being circumcised or not being circumcised doesn’t matter in Christ Jesus, but faith working through love does matter. (Galatians 5 CEB)
The cornerstone of Paul's Gospel is righteousness by faith, and having been made righteous by faith, the love of God is poured into the heart:
22 God’s righteousness comes through the faithfulness of Jesus Christ for all who have faith in him. There’s no distinction. 23 All have sinned and fall short of God’s glory, 24 but all are treated as righteous freely by his grace because of a ransom that was paid by Christ Jesus (Romans 3)
1Therefore, since we have been made righteous through his faithfulness, we have peace with God through our Lord Jesus Christ...5This hope doesn’t put us to shame, because the love of God has been poured out in our hearts through the Holy Spirit, who has been given to us. (Romans 5)
Arguably, Paul has simply combined faith and love into righteousness. If the two are not the same piece described with different terms, they are are very similar in nature.
Complete-Armor and Pieces of Armor
If we are to see a difference, it is primarily due to the difference between the Thessalonians and the Ephesians. The message to the Christians in Thessalonica, who are new to the faith, focuses on reinforcing the hope of salvation. The message to the mature Ephesians focuses on reinforcing the purpose of salvation. In the first, Paul is describing two pieces with an inward perspective. In the second, Paul is describing the complete-armor with an outward perspective.
Two Pieces of Armor
But since we belong to the day, let us be sober, having put on the breastplate of faith and love, and for a helmet the hope of salvation. (1 Thessalonians 5:8 ESV)
Complete-Armor
13 Therefore take up the whole armor of God, that you may be able to withstand in the evil day, and having done all, to stand firm. 14 Stand therefore, having fastened on the belt of truth, and having put on the breastplate of righteousness, 15 and, as shoes for your feet, having put on the readiness given by the gospel of peace. 16 In all circumstances take up the shield of faith, with which you can extinguish all the flaming darts of the evil one; 17 and take the helmet of salvation, and the sword of the Spirit, which is the word of God (Ephesians 6)
Here is a comparison of the two:
Two Pieces of Armor Complete-Armor
Helmet: hope of salvation Helmet of the salvation
Breastplate: of faith and of love Breastplate of the righteousness
Belt of truth
Shoes of preparation of the gospel of the peace
Shield of the faith
Sword of the Spirit
The helmet is also described differently. It is not the helmet of the salvation; it is simply helmet of hope of salvation. In the letter to the Thessalonians Paul does not use the article with either piece of armor; in the letter to the Ephesians, each piece and its purpose are written with the article.
The Thessalonians are new Christians working through the significance of their recent rebirth. They cannot put on the complete-armor without first being assured in their salvation. Therefore, Paul instructs them to put on helmet of hope of salvation and breastplate of faith and love.
The Ephesians are mature Christians and Paul instructs them to put on τὴν πανοπλία, the panoplia, the complete-armor. Here faith, which was in the breastplate is identified separately in the shield. Nevertheless, one does not have righteousness unless one has faith. To the Ephesians, Paul assumes the faith which makes one righteous and calls for a different faith, sharing the Gospel.
Conclusion
I think it is reasonable to understand the two breastplates as being identical. The difference lies in what the breastplate becomes when worn as part of the panoplia of God. Worn separately it describes what the new Christian has. Just as they have hope of salvation in their mind, they have faith and love in their heart. On the other hand, when the Christian goes out to share the Gospel, they are to put on the complete-armor.
Righteousness in God is based on faith in Christ and His love in the heart. One could say the assurance of salvation in the mind has completely fused faith and love into righteousness. With that assurance, the other pieces are needed in order to successfully share the Gospel. Their shield of faith is not in the hope of their salvation, but in the hope of salvation for others. That is, the assurance of salvation is reflected in how both the helmet and the breastplate are identified.