I don't know if the eggs are fertile or not.....?

The eggs may not be fertile. The only way is if the Lovebirds actually bred. From the sounds of it, she probably did not let him near her. You can check the egg after 3-4 days. Go in a dark room with a flashlight, put the egg up to the light, you may see a yellow yolk, but this does not mean it is fertile. You should be able to tell if it has red membranes and an egg cel at one end of the egg. This is usually a different color than the egg itself. If the eggs are not fertile, you should let her sit on them, but not long. If she is being nasty to the male, it is probably because she is protecting her eggs. If she gets nastier towards him, you will have to separate them. A bonded pair will not pluck each other.