Hand 1: Tbh this seems like a really close bet to induce/call spot. I would expect V to c/r a lot of flush draws on the flop since he has sets in his range and you don't except for maybe TT. He'll have some Tx but not that many. He's also more likely to lead flushes and Tx not expecting you to value bet river on this runout. However, he'll have a ton of 66/77/99 that will be tempted to c/jam and rep something if you bet. So yeah, think I like bet $200/call here even without a heart.
Hand 2: Seems like a spot where V is a lot more likely to c/r or fold than call so I would just check. I think a good strategy in this spot would be to value bet AJ-AK but with J
/Q
/K
and plan to call a raise with it. AJ w/ J
seems like a better value bet than AK without K
. This can be mixed in with a few bluffs such as QJs and KJs until you get a better feel for how he plays his range in similar spots.