Actually, the uniforms in this movie are fairly easy to understand:
Red suit: Cadet
TOS uniform: Starfleet crew
Black uniform: Starfleet Admiral (normal)
Pike's uniform in the end scene which is the same as Kirk's admiral uniform from TMP: Starfleet Admiral (alternate, probably the full-dress variant)
As for the Kelvin
, we know that Blue = command, White = medical. There are two others - greenish/gray, and gold - so one of those is probably sciences and the other would be operations. Not that big of a deal, really.