Villains stats are 68/9/1.4. BvB I figured I could get him calling PSB's with lots of worse hands, so my bets are for value. His calling range on flop is easily any pocket pair, any Ax, 9T, JT, QT, KT, QJ, KJ and KQ. Does his lead on the river in this spot always mean I'm beat, even though he's loose and the shove was less than pot? The problem is I've pretty much played my hand face up, but I havent exactly given myself enough room to fold on the river. I'd like second opinions on whether this should be a fold or not.

PokerStars No-Limit Hold'em, $0.02 BB (9 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

MP3 ($2.48)
CO ($2.92)
Button ($6.57)
SB ($2.35)
Hero (BB) ($2.01)
UTG ($1.87)
UTG+1 ($0.98)
MP1 ($2.58)
MP2 ($1.17)

Preflop: Hero is BB with K, A
7 folds, SB calls $0.01, Hero bets $0.10, SB calls $0.08

Flop: ($0.20) 5, A, 10 (2 players)
SB checks, Hero bets $0.20, SB calls $0.20

Turn: ($0.60) 8 (2 players)
SB checks, Hero bets $0.60, SB calls $0.60

River: ($1.80) J (2 players)
SB bets $1.45 (All-In), Hero...?

Total pot: $4.02 | Rake: $0.15