Bet-fold correct on river here?

Pysterman

Incidentally, I timed out on the flop. (Would have bet otherwise.)

bigtom18	Small blind		£0.02	£0.02	£2.56
Pysterman	Big blind		£0.04	£0.06	£4.87
	Your hole cards	10 4
billyboots	Call		£0.04	£0.10	£4.11
EvilPingu	Fold
acesfull83	Call		£0.04	£0.14	£5.24
lcsziwer	Fold
bigtom18	Call		£0.02	£0.16	£2.54
Pysterman	Check
Flop
		10 A 10
bigtom18	Check
Pysterman	Check
billyboots	Check
acesfull83	Check
Turn
		8
bigtom18	Bet		£0.04	£0.20	£2.50
Pysterman	Raise		£0.22	£0.42	£4.65
billyboots	Call		£0.22	£0.64	£3.89
acesfull83	Call		£0.22	£0.86	£5.02
bigtom18	Call		£0.18	£1.04	£2.32
River
		6
bigtom18	Check
Pysterman	Bet		£0.52	£1.56	£4.13
billyboots	All-in		£3.89	£5.45	£0.00
acesfull83	Fold
bigtom18	Fold
Pysterman	Fold

I figured there was enough I could be losing to in a multi-way pot to warrant not putting my stack in.

Should I have checked-called the river instead?

Dudeskin8

Bet flop.

River 79 got there and maybe slow played bigger 10 which is possible, has to be fold I think.

grantorino

looks ok, bet flop obv