Should I have just stuck with 3 betting A-K os on the BB in this following situation?

Also let me know about the rest of the hand too.


2-4 limit

Hero has Ad Kh


EP raises, MP calls, Hero (BB) calls.

Flop: [3h][6d][9c]

EP bets, MP folds, Hero raises, EP calls.

Turn: [Jd]

EP checks, Hero bets, EP calls.

River: [9h]

EP checks, Hero checks.