Tempest of Seasons, Dwellings of the Ancient Gods, Fodlan Winds, and Blue Skies and a Battle all appear to be new tracks, or at least I can't find them anywhere except Fodlan Winds, which is obviously a Three Houses track.
As for the rest, the likely sources are:
The Time to Act - Marth
Eternal Bond - Ike
Id (Purpose) - Robin
Conquest (Ablaze) - Lucina
Beneath a New Light (Roy’s Courage) - Roy
March to Deliverance - Alm
With Mila’s Divine Protection - Celica
Alight (Storm) - M!Corrin
A Dark Fall (Fire) - F!Corrin
Destiny (Ablaze) - Chrom
The World Tree - Tiki
The other four may be unlocked based on how many FE amiibos you've used rather than correlating to any specific one.