I'm happy for you this got accepted! It's a nice entry for sure!
The transition in the song Transition is really interesting. I love the sudden change in instrumentation and rising tempo. The reuse of "The Princess" theme in "A New Light" is also nice, it ties these songs together, giving the soundtrack a better identity.
Sonically, I find some of the synths too harsh at some points (like beginning of Transition). But some other parts are really nice - I like the first song, "Main Menu" the most.