Posting two hands because they're almost identical. These spots really irritate me. In either case I assume villain has a week hand. My default is to raise the donk and hope for a fold. If I don't get a fold and the turn is a brick for me (but may be filling a set/gutshot/backdoor draw for villain) should I just check behind/be done with the hand or keep trying to rep the high card?

888 Poker - $0.02 NL - Holdem - 9 players
Hand converted by PokerTracker 4

BB: $1.84 (VPIP: 32.76, PFR: 1.72, 3Bet Preflop: 3.33, Hands: 58)
UTG: $4.35 (VPIP: 34.48, PFR: 1.72, 3Bet Preflop: 0.00, Hands: 58)
UTG+1: $2.00 (VPIP: 15.45, PFR: 10.00, 3Bet Preflop: 6.45, Hands: 110)
UTG+2: $1.52 (VPIP: 44.26, PFR: 1.64, 3Bet Preflop: 0.00, Hands: 62)
MP: $2.44 (VPIP: 13.87, PFR: 8.74, 3Bet Preflop: 3.59, Hands: 723)
Hero (MP+1): $2.07
CO: $1.00 (VPIP: 3.33, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 30)
BTN: $0.47 (VPIP: 11.76, PFR: 5.88, 3Bet Preflop: 0.00, Hands: 68)
SB: $3.03 (VPIP: 41.07, PFR: 28.57, 3Bet Preflop: 0.00, Hands: 58)

SB posts SB $0.01, BB posts BB $0.02

Pre Flop: (pot: $0.03) Hero has K Q

fold, fold, fold, fold, Hero raises to $0.06, fold, fold, fold, BB calls $0.04

Flop: ($0.13, 2 players) 6 A 5
BB bets $0.02, Hero raises to $0.14, BB calls $0.12

Turn: ($0.41, 2 players) 4
BB checks, Hero checks

River: ($0.41, 2 players) 3
BB bets $1.64, fold


888 Poker - $0.02 NL - Holdem - 9 players
Hand converted by PokerTracker 4

UTG+2: $0.96 (VPIP: 26.40, PFR: 16.00, 3Bet Preflop: 2.94, Hands: 126)
MP: $2.28 (VPIP: 100.00, PFR: 100.00, 3Bet Preflop: -, Hands: 2)
MP+1: $0.86 (VPIP: 44.44, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 9)
Hero (CO): $2.00
BTN: $2.21 (VPIP: 19.49, PFR: 3.39, 3Bet Preflop: 0.00, Hands: 122)
SB: $1.40 (VPIP: 72.73, PFR: 9.09, 3Bet Preflop: 0.00, Hands: 11)
BB: $2.97 (VPIP: 32.53, PFR: 12.05, 3Bet Preflop: 7.14, Hands: 83)
UTG: $0.96 (VPIP: 100.00, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 1)
UTG+1: $3.34 (VPIP: 15.11, PFR: 11.15, 3Bet Preflop: 3.23, Hands: 280)

SB posts SB $0.01, BB posts BB $0.02

Pre Flop: (pot: $0.03) Hero has J A

UTG calls $0.02, fold, fold, MP calls $0.02, fold, Hero raises to $0.14, fold, SB calls $0.13, fold, fold, MP calls $0.12

Flop: ($0.46, 3 players) 8 K 7
SB checks, MP bets $0.02, Hero raises to $0.26, fold, MP calls $0.24

Turn: ($0.98, 2 players) 6
MP bets $0.02, Hero calls $0.02

River: ($1.02, 2 players) 9
MP bets $0.02, Hero calls $0.02