still learning is this wrong call or bad beat?

[samdar]

ok .25/.50 table on pokerroom.com

Hero UTG AJ off suit raise .50
folds around button +1 calls
button raised
sb calls
bb calls
hero calls
button +1 calls

flop:
Kc 10d 2h

checks around button raises .25 (at this point i put him on a set)
calls all around

turn Qc (gives hero top straight)
hero bets 50
calls around
button raises
sb,bb call
hero raises (caps)
all call
river card:
10
checks around:
button bets .50

given pot odds I call
as i feared he had the house button +1 low end straight, ss, bb?

I know I should have folded to the last bet but I wanted to see what he had to make sure my read of his betting was right plus it only cost me 1 bet. Was I wrong to keep reraising after I hit my straight or should i even have stayed in the had chasing the gut shots? My pot odds where right to call the .25 bet on the flop but was I correct on the turn?

Still learning so comments always helpful.

Future WSOP champion Samdar