Here are my opinions on the two sample music pieces. Overall, they both can work.
The phrase easily heard around seconds 14-18 reminded me of DQ1 (which works nicely as a tie to the first game), but still goes nice with the rest of the song, which is new. (Either coincidentally or intentionally, it sounds similar to seconds 14-18 of the DQ1 song “To Battle!”) Until I heard that section of “The Ride”, I didn’t realize how strongly those bars make me think of DQ1. Be sure not to remove that part!
I can’t explain why, but when hearing this song, I get an image of an area with ice or crystal.
I think this would work well on the easier (and probably earlier), calmer battles. This sounds less grand than some of the battle songs in DQ1. Keep it in, though; having all the battle music “large” can get to be too much.