Playing medium pair in a 4 way plot

So this hand has been bothering me a little bit. With 3 people entering the pot before me I was finding it difficult to think whether or not my 10s would be good. Being in the small blind and calling made it feel a little tricker because the big blind could have easily squeezed and pushed us all out of the pot. So, rightly or wrongly I called.

BTN: 181.5 BB (VPIP: 30.77, PFR: 16.67, 3Bet Preflop: 0.00, Hands: 14)
Hero (SB): 131 BB
BB: 110.5 BB (VPIP: 0.00, PFR: 0.00, 3Bet Preflop: -, Hands: 1)
UTG: 134.5 BB
MP: 202.5 BB (VPIP: 14.29, PFR: 14.29, 3Bet Preflop: 20.00, Hands: 7)
CO: 110 BB (VPIP: 44.44, PFR: 22.22, 3Bet Preflop: 0.00, Hands: 9)

Hero posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has T:club: T:spade:

UTG raises to 4 BB, fold, CO calls 4 BB, BTN calls 4 BB, Hero calls 3.5 BB, fold
Flop: (17 BB, 4 players) 8:heart: 3:spade: 2:spade:

With this flop and so many callers it was hard to think what I could do first off so the check seemed right. I was happy with this knowing that there could easily be a set out there and the strong UTG raiser still needed to declare his intention

Hero checks, UTG bets 3 BB, CO calls 3 BB, BTN calls 3 BB, Hero calls 3 BB

The call of 3BB was trivial. Raising the flop and opening the betting up again was inviting trouble so I was happy with this.

Turn: (29 BB, 4 players) Q:spade:

The flush comes with the spade if it is out there and the overcard to my 10s isn't great but not a disaster. Checking seems prudent again.

Hero checks, UTG bets 7 BB, fold, BTN calls 7 BB, Hero calls 7 BB

Any flush would have been better harder than this. The sets would surely have bet stronger on the flop so I am happy to call and close the betting again at this price.

River: (50 BB, 3 players) T:heart:

And this is the card that puzzles me. I check to see what else is out there. And I am left wondering whether I should have raised the betting or been happy to show my hand down.  

Hero checks, UTG bets 5 BB, BTN calls 5 BB, Hero calls 5 BB

UTG shows Q:diamond: A:club: (One Pair, Queens)
(Pre 37%, Flop 24%, Turn 71%)
Hero shows T:club: T:spade: (Three of a Kind, Tens)
(Pre 46%, Flop 68%, Turn 24%)
BTN mucks 9:spade: 9:club: (One Pair, Nines)
(Pre 17%, Flop 9%, Turn 5%)
Hero wins 62.5 BB


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