this is a hand from a live SnG.

the game starts with 100TC and was 7 handed, 6 remain

when this hand occured i was at around 1750-1900 and was 1st in chips, blinds were around 4,8.

villain is around 1500-1600 and the closest to me in chips.

villain is sort of weak tight but slightly erratic, will play limp with all pairs, suited connectors (not always in the correct conditions), and 2 high cards. this player is VERY bluffable, but can be unpredictable and erratic. also may become much looser and agressive when bored/tired.

i said tight but will play more hands than me but less than most if unraised. if the pot is raised becomes very tight. prob tight passive on the flop onwards, but as i said can be unpredictable.

the other players have 500-1200 and are not involved much in this hand.

i hold 10 2 off suit

there is no pre-flop raise and i see the flop for free, along with Villain (mp) and sb.

flop = 10 4 5 rainbow. sb checks, i check, villain checks.

can i bet here with TP shit kicker?

turn = 2

i bet 1/2 pot, villain pushes all-in, sb folds.

what do i do here. i feel it is likely i am ahead facing TP good kicker or a bluff (assuming i have a worse hand than i have) but do i put the majority of my chips on the line here?