just as I figured from the earlier pics, the only thing hydro you have is a master mount on the frame and a mismatched unknown master cylinder.
everything else is cable brake based...caliper, axle carrier mounts for caliper, peg & pedal.
someone swapped all cable brake parts onto a 03+ hydro frame.
so now you're missing the cable bracket to even restore the cable brake system
I and others will tell you to get my GSXR brakes, but they're designed to bolt onto a pre 03 frame to the cable bracket, not the master cylinder bracket you have.
and without me tearing everything off my 06 frame down to fabricate a system (which i'm not doing)
my bolt on kits won't work for you
you're in a pickle, hows your welding/fabricating skills and wallet ?
as for the carb, did you set the float height ? (look in carburetor section for how to)
could be time for new float needle valve.