Welcome! I am sorry to hear your bunny is overgrooming. It can be especially frustrating. Before going into any environmental or stress issue, it would be good to rule out any medical issue. Make sure your bunny doesn’t have any teeth issues or something that he is trying to “soothe” himself from physically. Make sure that his sister doesn’t have something physically as well that he is trying to clean/heal via licking. You might want to have them checked out by a vet if they haven’t seen a vet since this started happening.
Oh, and regarding the neosporin (without pain meds)—after you put it on, you don’t want to let her back with her brother for about 20 minutes or so it can be absorbed into the skin before it gets licked off. The generic kind WITHOUT any kind of pain reliever is fine. The best way to really tell is read the ingredients of the Neosporin without pain relief and compare that to the store brand
Mocha is right — rabbits should get a minimum of three hours of run/play time. So the next few questions are NOT to make you feel bad or to expose what you are doing wrong (or right!), but just to us help you find solutions.
1.Does the male groom all day, and if not, what times of day do you notice him grooming the most?
2.Where in the house is their cage/pen?
3. On average, how many hours per day do they get playtime?
4. What time of day do they get freetime out?
5. What kind of toys do they currently have?
6. How large is their permanent confined area/pen/cage?
7. Do you have other animals? If so what are they?