[50NL] checkfold river 3bet pot?

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[50NL] checkfold river 3bet pot?

Hand History for Game 1111111111 (Poker Stars)
$50.00 USD NL Texas Hold'em - Sunday, January 20, 04:59:53 ET 2019
Table Baade (Real Money)
Seat 1 is the button
Seat 1: Player1 ( $130.07 USD ) - VPIP: 33, PFR: 17, 3B: 0, AF: 0.3, Hands: 6
Seat 2: Player2 ( $166.95 USD ) - VPIP: 27, PFR: 9, 3B: 0, AF: 2.0, Hands: 11
Seat 3: Hero ( $54.56 USD ) - VPIP: 25, PFR: 21, 3B: 11, AF: 2.4, Hands: 808
Seat 4: Player4 ( $143.39 USD ) - VPIP: 27, PFR: 27, 3B: 0, AF: 0.0, Hands: 22
Seat 5: Player5 ( $50.75 USD ) - VPIP: 0, PFR: 0, 3B: 0, AF: 0.0, Hands: 1
Seat 6: Player6 ( $52.55 USD ) - VPIP: 23, PFR: 21, 3B: 17, AF: 6.0, Hands: 47
Player2 posts small blind [$0.25 USD].
Hero posts big blind [$0.50 USD].
* Dealing down cards *
Dealt to Hero [ Jd Ac ]
Player4 folds
Player5 folds
Player6 folds
Player1 raises [$1.50 USD]
Player2 folds
Hero raises [$4.50 USD]
Player1 calls [$3.50 USD]
* Dealing Flop * [ Jc, Th, Ad ]
Hero bets [$4.00 USD]
Player1 calls [$4.00 USD]
* Dealing Turn * [ 2d ]
Hero bets [$9.27 USD]
Player1 calls [$9.27 USD]
* Dealing River * [ 8h ]
Hero bets [$36.29 USD]
Player1 calls [$36.29 USD]
Hero shows [Jd, Ac ]
Player1 shows [9c, Qc ]
Player1 wins $107.37 USD from main pot

I made a mistake betsizing wise I should bet 1/2/ 2/3 pot flop and 1/2 pot turn so the pot would be around $15 bigger i'm only not sure what to do on the river when I checkback? always against KQ/Q9 as he did not shove on the turn? or could he have AK/AQ lower A and A10 and just shove ?
again no stats only know the player was playing 1 table.

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