1.2 The word here for give thanks is "eucharist-oo"
1.3 All of the phrases: "work of faith" "fruit of love" "endurance of hope" are all in the genitive case in Greek, leaving the reader to decide. It seems most clear that this is a source genitive, in that the faith is the source of the work.
1.4 The verb "elect" (exlogeh) here is actually a noun. It simply reads, "knowing, under the circumstance that you are loved by God, your election." The election here could be our election of God!
1.5 The word "power" here is "dynamis." This word can mean miracles when used in the plural, but in the singular it means power. Power for Paul, especially in 2 Corinthians and Philippians relates to the power of the resurrection and faith working in us to endure difficult times. The power is displayed in the basic miracle that we believe! (1 Cor 2:5)
1.7 The word here for model is "typos," as in Adam is the typos of all us in sin.
1.8 The word for sound forth is "ex-echeo-mai" Their faith is echoing all over the "Great Sea", aka, the Medit.