NL10 : trouble spot with JJ

[rh2020]

Villian is around 60/15/1 over 300+ hands. He is quite the donk but does pick of some big pots from time to time.

Given his wide range of raising hands I wasn't too worried until the flop came. Don't like his half pot bet either.

What are your thoughts. How often is JJ behind here, do you take it to the felt?

Absolute Poker
No Limit Holdem Ring game
Blinds: $0.05/$0.10
9 players
Converter

Stack sizes:
UTG: $6.20
UTG+1: $4
MP1: $10.85
MP2: $2.85
Hero: $12.23
CO: $5.04
Button: $3.65
SB: $5.85
BB: $19.90

Pre-flop: (9 players) Hero is MP3 with J[img]/images/graemlins/heart.gif[/img] J[img]/images/graemlins/spade.gif[/img]
2 folds, <font color="#cc0000">MP1 raises to $0.3</font>, MP2 folds, <font color="#cc0000">Hero raises to $0.9</font>, 4 folds, <font color="#cc0000">MP1 raises to $3.5</font>, Hero calls.

Flop: K[img]/images/graemlins/diamond.gif[/img] T[img]/images/graemlins/club.gif[/img] A[img]/images/graemlins/diamond.gif[/img] ($7.15, 2 players)
<font color="#cc0000">MP1 bets $3.7</font>, Hero ?