The first question is, is he neutered?

Bunnies leave poo's around to attract a mate. They also leave poo's around in order to say to the next bunny who comes through the door that THIS space is MY Space. So either way I doubt the droppings are accidents..... It sounds to me like your rabbit is being a typical rabbit. If he is doing a territory marking that should stop aft. a couple of weeks when he is satisfied that his area is safe from trespasser bunnies.

The best thing you could do for him is to have him neutered by a rabbit specialist vet... Buns are sensitive to anesthetics and the right one in the right amount must be used. Another plus for neutering is that the urine will not smell as strongly once the hormones are out of his system and it also calms the bunny down as well as eliminates the chance for a reproductive cancer. Most vets do not bother to take the classes is rabbit care and therefore have no idea how to care for a rabbit. A rabbit's physiology is dramatically different from a cat or dog and what medication a vet might give to a cat for a specific health problem would kill a bunny even if it was for the same problem. So interview the vets in your area and do not settle for one who has not had the training....we get quite a few sad stories about well-intentioned vets giving wrong or incorrect amount of medications and causing unnecessary deaths. Also have heard of some really bizarre treatments too so it's just better to stay away from a cat/dog vet when you want rabbit care.