10 NL turn/river with marginal hand

[monkeymaps]

main villan is 58/20/4 over bout 50 hands
pfr is weakTAG 22/9/1.5

Poker Stars, $0.05/$0.10 NL Hold'em Cash Game, 6 Players
LegoPoker Hand History Converter

MP: $17.80
Hero (CO): $12.15
BTN: $6.15
SB: $9.60
BB: $5.60
UTG: $10.10

Pre-Flop: 4[img]/images/graemlins/diamond.gif[/img] 4[img]/images/graemlins/club.gif[/img] dealt to Hero (CO)
UTG folds, <font color="red">MP raises to $0.30</font>, Hero calls $0.30, 2 folds, BB calls $0.20

Flop: ($0.95) 2[img]/images/graemlins/spade.gif[/img] 8[img]/images/graemlins/spade.gif[/img] 5[img]/images/graemlins/club.gif[/img] (3 Players)
BB checks, MP checks, <font color="red">Hero bets $0.80</font>, BB calls $0.80, MP folds

Turn: ($2.55) Q[img]/images/graemlins/club.gif[/img] (2 Players)
BB checks, Hero checks

River: ($2.55) 2[img]/images/graemlins/diamond.gif[/img] (2 Players)
<font color="red">BB bets $1.80</font>, Hero ?

should I fire the turn here? his range is huge but I do have showdown value.

river everything missed easy call?
comments on all streets welcome