Hi, welcome to the forum! The eggs look identical to bladder snail eggs to me - a snail I think of as a blessing and a curse. They have a beautiful shell and a nice colour to their flesh, but they will take over a tank in a matter of weeks. This mostly happens when you have a surplus of food, algae, or fish/shrimp waste. Snails will generally self-moderate to the amount of food/waste in a tank (so they will die off if there is not enough, and keep breeding if there is too much). I hated these to begin with, and now I have found peace with my pest snails ?
This is probably your only chance to get rid of them, now, otherwise you could be stuck trying to get rid of them for a while, with no results.
In terms of the bug I have absolutely no idea. Jayc might though, he always seems to know ?