I would highly recommend taking him to the vet as soon as possible. Swollen and bleeding genitals are not good and rabbit saliva is dirty, prone to causing infections on open wounds. An infection down there is the last thing your rabbit needs.
I’m unsure what the tone of “pocket pet” vet implies, but I feel that that may mean that vet is not an experienced exotic vet? It is very important for rabbits to be seen by rabbit-experienced vets, who at the minimum would needs to be an exotic veterinarian. Even “smaller” knowledge, like how to properly handle and examine a rabbit are important.
If you are in the US, the House Rabbit Society (rabbit.org) has a list of vets by state who are exotic veterinarians. If you have a local HRS chapter (which would be listed on rabbit.org), you can often visit their website to see what vets they recommend in your area.
Regardless of what caused this, it is something that now needs to be assessed by a rabbit experienced vet.
The answers provided in this discussion are for general guideline purposes only. The information is not intended to diagnose or treat your pet. Seek the advice of your veterinarian or a qualified behaviorist.