So in hand 1 the turn is disastrous. I'm now beating JJ, AJ AT and KQ and losing to AA, KK, QQ, AK, AQ. Do I check behind and fold to a river bet?

Hand 2 could I extract more value here?

HAND1:

PokerStars No-Limit Hold'em, $0.10 BB (8 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

UTG ($8.80)
UTG+1 ($4.85)
MP1 ($9.75)
MP2 ($15.20)
CO ($10)
Button ($3.65)
SB ($9.90)
Hero ($84.60)

Preflop: Hero is BB with J, T. CO posts a blind of $0.10.
2 folds, MP1 calls $0.10, 1 fold, CO (poster) checks, 1 fold, SB raises to $0.4, Hero calls $0.30, MP1 calls $0.30, CO calls $0.30.

Flop: ($1.60) K, A, Q (4 players)
SB bets $1.9, Hero calls $1.90, MP1 folds, CO folds.

Turn: ($5.40) A (2 players)
SB checks, Hero ???

HAND2:

PokerStars No-Limit Hold'em, $0.10 BB (9 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

CO ($4.55)
Button ($11.45)
SB ($8.40)
BB ($11.55)
UTG ($9.65)
UTG+1 ($13.40)
MP1 ($0.95)
MP2 ($10)
Hero ($65.40)

Preflop: Hero is MP3 with K, A.
1 fold, UTG+1 raises to $0.2, 2 folds, Hero raises to $0.6, 4 folds, UTG+1 calls $0.40.

Flop: ($1.35) 4, A, 9 (2 players)
UTG+1 checks, Hero checks.

Turn: ($1.35) T (2 players)
UTG+1 bets $1, Hero calls $1.

River: ($3.35) 6 (2 players)
UTG+1 checks, Hero checks.

Final Pot: $3.35

Thanks in advance