Hand 1: i cbet because i feel i have enough FE and if even i dont he still will almost never raise bluff so i get to see 3 streets if i want to (As the UTG raiser you'll encounter this scenario a lot).
Hand 2: Can go either way based on reads. I lean toward cbetting, it has some value and your hand will be deceptive. If you check your hand is pretty faceup, and most opponents will think a turned A or 7 has hit you.