10/20 QQ overpair w/side pot

[HEK]

BB is a total and complete donk. His range is any 2 big cards, any pair. UTG is also terrible. He's like 50/10 and does this miniraise thing with just about everything and anything. I don't know what to make of his preflop cold call though. He did call pretty quick. Couple things first:

1. Does anybody reopen the betting preflop?
2. Who raises the flop?

Party Poker No-Limit Hold'em, $20 BB (6 handed) converter

saw flop|<font color="#C00000">saw showdown</font>

Button ($845.79)
SB ($2873.56)
<font color="#C00000">BB ($350)</font>
UTG ($3460.03)
<font color="#C00000">Hero ($6378)</font>
CO ($2020)

Preflop: Hero is MP with Q[img]/images/graemlins/diamond.gif[/img], Q[img]/images/graemlins/heart.gif[/img].
<font color="#CC3333">UTG raises to $40</font>, <font color="#CC3333">Hero raises to $200</font>, <font color="#666666">3 folds</font>, <font color="#CC3333">BB raises to $350 (All-In)</font>, UTG calls $310, Hero calls $150.

Flop: ($1060) 5[img]/images/graemlins/diamond.gif[/img], 6[img]/images/graemlins/diamond.gif[/img], 3[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players, 1 all-in)</font>
<font color="#CC3333">UTG bets $200</font>, Hero calls $200.

Turn: ($1460) 2[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players, 1 all-in)</font>
<font color="#CC3333">UTG bets $250</font>, Hero calls $250.

River: ($1960) Q[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players, 1 all-in)</font>
<font color="#CC3333">UTG bets $85</font>

How much?