Im just getting started, did i play this hand correctly?

I was playing in a game that i thought was loose but passive. the hand was

Ihave As 9s

in small blind. Three people limp in and i raise. The big blind folds. Everyone else calls. (9 small bets)

the flop Ts 5d 9c

i bet. one player calls. the others fold. (11 small bets)

turn card Ks

i bet. player calls (7.5 big bets)

river card Kd

i check. player checks.

Even though i won i'm not sure if i handled the hand correctly. Can someone help. Thanks. <font color="blue"> </font> </font> </font>