My dog is currently experiencing the same thing (ie. nose bleeds). It was first diagnosed as a nacterial infection behind the nasal passage. It has grown and the right side of the top of his head has now collapsed. It does not look good and the vet is now advising that it might be a tumor. He is under a lot of medication however it will never cure him.
I am sorry my posting is not that great either but the symptoms are important to look out for.