It would be good for us to know how long they've been together.
There are things you can do about the food fighting, the fact that she is trying to hoard is definitely a sign of trouble there. You mentioned, "two apple pieces". What diet are they on? Some of the problem may be due to an insufficient diet or not enough foods. If it isn't that, separate feeding stations and treats hidden around the cage would give her a better chance. How big is their cage?
Over grooming is what you are noticing on her face. This is definitely an indication of stress/distress.
I would suggest taking them both in for a vet check. Either of them may have a hidden illness (one that hasn't taken them down enough for you to notice yet, and when they do go down it is often too late). She could be ill and he is reacting to that...or he could be and is acting out with this aggression.