Given that I'm the Village Idiot around here, I feel no risk in giving an opinion (FWIW!):
I definitely see promise/potential, and you clearly have some ability. But it seems to me the material needs "polishing" - a nice way of saying it lacks cohesion, structure, etc...as BBass commented, it's pretty disjointed (unless that was your intent!).
Again - I'm no expert - but playing music with unusual rhythm/time signatures and/or structure is normally the domain of the ridiculously talented (I'd point to Yes and RUSH as good examples).
I also agree that at this point of this particular piece's development: studio time would likely be interesting and even productive, but costly and perhaps premature? There's numerous online resources that outline what the studio experience will be like, what will be expected of you, and what you should be prepared for. I think the fundamental idea is be prepared and do your homework, so you can make best possible use of the expensive studio time.
Good luck!