I think I played this 4/180 hand wrong, agreed?

[erocplayer]

PokerStars (9 handed) Poker Stars Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)
100/200 no ante.
Table '67348058 83' 9-max Seat #5 is the button
Seat 1: hon2984 (3860 in chips)
Seat 2: imchazmac (7025 in chips)
Seat 3: MentLMadneSS (3080 in chips)
Seat 4: mr.nismoman (4021 in chips)
Seat 5: Joey Photo (7998 in chips)
Seat 6: shabby1 (2945 in chips)
Seat 7: FAIZ1985 (8295 in chips)
Seat 8: JJ Half Dome (2695 in chips)
Seat 9: erocplayer (5175 in chips)
shabby1: posts small blind 100
FAIZ1985: posts big blind 200

Preflop: Hero is UTG+1 with 7[img]/images/graemlins/spade.gif[/img], 8[img]/images/graemlins/spade.gif[/img]. SB posts a blind of 100.
<font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises to 500</font>, <font color="#666666">3 folds</font>, CO calls 500, <font color="#666666">2 folds</font>, BB calls 500.
Total Pot: 1600

Flop: T[img]/images/graemlins/spade.gif[/img], 4[img]/images/graemlins/spade.gif[/img], 7[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, <font color="#CC3333">Hero bets 1600</font>, CO folds, BB calls 1600.
Total Pot: 4200

Turn: 3[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
BB checks, <font color="#CC3333">Hero bets 3075 (All-In)</font>, BB calls.

River: Q[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players, 1 all-in)</font>

Final Pot: 10,350.

Preflop, I should have folded. I wouldve avoided the situation entirely. But since I did not, and am now in the situation, perhaps you can help. [img]/images/graemlins/grin.gif[/img]

I liked the pot-size bet on the flop and if I had been shoved, I think I would have, most likely, called it.

On the turn however I feel like I would have been better off checking behind and seeing a free river. (I decided this when I went back and looked over the hand) This would have been better, I think, because if my opponent was willing to C/C a pot-sized bet on the flop, he would likely call my all-in on the turn because his check (even if it does mean weakness) does not mean he is folding. Also, I am given a chance to fold if I miss on the river and decide that my pair of 7s are no good. Lastly, I may be able to extract further value if i spike a 7 or an 8 on the river (less likely to win another large bet on the end if a spade falls, I'd imagine).

I'd like to think that I would come back and look at this hand regardless of whether or not I had lost it, but I'm not entirely sure if I would have. I DO know, however, that I felt uneasy about the turn shove but felt as though that's what I was "supposed" to do. Is it?