Protecting 2 pair, done well or even needed?

[usmfan]

Neither the CO nor the button are anything but donks, Button less so. They're both loose-passive.

PokerStars 2/4 Hold'em (4 handed) converter

Preflop: Hero is UTG with A[img]/images/graemlins/diamond.gif[/img], J[img]/images/graemlins/spade.gif[/img] .
<font color="#CC3333">Hero bets</font>,
CO calls, Button calls, <font color="#666666">1 fold</font>, BB calls.

Flop: (6.50 SB) A[img]/images/graemlins/spade.gif[/img], 3[img]/images/graemlins/diamond.gif[/img], J[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, <font color="#CC3333">Hero bets</font>, CO calls, <font color="#CC3333">Button raises</font>, BB folds, Hero calls, CO calls.

Turn: (6.25 BB) 5[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, CO checks, <font color="#CC3333">Button bets</font>, <font color="#CC3333">Hero raises</font>, CO calls, Button calls.

River: (10.25 BB) Q[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players)</font>
<font color="#CC3333">Hero bets</font>, <font color="#CC3333">UTG raises</font>, Button calls $0.50 (All-In), Hero calls.

Final Pot: 13.37 BB

I don't mind posting how I played it out as I don't think that's important. My question is should I be worried about protecting this two pair since there are no big draws out there? Should I get my raise in on the turn or let the CO call and raise the river if I'm sure that the button will raise the river?

Of course, as I'm typing this, I'm thinking that the button's going to be all in on the river and CO might drop his hand to 2 bets on the river anyway. For the sake of argument, assume button is fully loaded. Thoughts?