[Bob T.]

Did I play this the right way?

No.

Preflop. You gave up value by not raising.

Flop. In a multiway pot, you want to get as many bets in on the flop as possible, fortunately your opponents did it for you.

Turn. Raise, when it is your turn.

River. Nice raise, about time.

Good luck,
play well,

Bob T.