You know how in 4/4 the beaming splits the 8th notes in 4? Like there's two sets of four eighth notes beamed together? If you have the inner two eighth notes as a part of those four, you want to use a quarter note instead of a tied eighth note figure; this is not the same when it is beamed over those 2 beats. Measure 3 is a great example. The first tie you use is correct because it beams over the big beat. The second tie you use is not because it's in the middle of the 2nd beaming figure; use a quarter note.
I'm not really sure why you have so many half step intervals in this piece. It seems very out of place and I get taken out of it while listening whenever it happens.
Other than that, it sounds rather nice. You have a pretty good idea going through it.
It does certainly does feel like it could be part of the Pokémon city soundtrack! Maybe ask GameFreak to add it in the Alola region? :D
Anyway, I think it needs to develop a little more harmonically. You have a really cool melody line that jumps all over the place melodically and I can only imagine what kind of unique harmonies you could put under it. Wha you have here is pretty good; I just want more music to accompany it, to make it sound fuller.