Calling down the shortie [$11 HUSNG]

These two relevant hands are from the same match:

No Limit Holdem Tournament
$11.00+$0.50
2 players
Converted at weaktight.com

Stacks:
BTN Hero (1430)
BB Villain (1570)

Blinds: 10/20

Pre-flop: (30, 2 players) Hero is BTN
Hero raises to 60, Villain calls 40

Flop: (120, 2 players)
Villain checks, Hero bets 80, Villain calls 80

Turn: (280, 2 players)
Villain checks, Hero bets 140, Villain calls 140

River: (560, 2 players)
Villain checks, Hero bets 440, Villain calls 440

Final Pot: 1,440
Villain shows:
Hero shows:

Hero wins 1,440 ( won +720 )
Villain lost -720



No Limit Holdem Tournament
$11.00+$0.50
2 players
Converted at weaktight.com

Stacks:
BTN Hero (2150)
BB Villain (850)

Blinds: 15/30

Pre-flop: (45, 2 players) Hero is BTN
Hero calls 15, Villain checks

Flop: (60, 2 players)
Villain checks, Hero checks

Turn: (60, 2 players)
Villain checks, Hero bets 60, Villain raises to 120, Hero folds

Final Pot: 180

Villain wins 240 ( won +90 )
Hero lost -90

And now onto the hand:
No Limit Holdem Tournament
$11.00+$0.50
2 players
Converted at weaktight.com

Stacks:
BTN Hero (1970)
BB Villain (1030)

Blinds: 15/30

Pre-flop: (45, 2 players) Hero is BTN
Hero raises to 90, Villain calls 60

Flop: (180, 2 players)
Villain checks, Hero checks

Turn: (180, 2 players)
Villain checks, Hero bets 120, Villain raises to 300, Hero calls 180

River: (780, 2 players)
Villain bets 600, Hero ????

He already did that rep the turn card thing once, and I respected it then but folded. This time the river blanked and she shoved. I sincerely expect him to be FOS here more than he has something that beats me.
Villain has 40 chips left, so I also bank on him expecting that to look super strong and draw folds. Am I thinking correctly here?

I'd check the turn in 1&3 and cbet flop in 2, perhaps 3 as well

I also think you bet too big on the river in 1

I know you asked about the river in 3 but FFUUUUUUUUUUUU