I had a brain tumor. I've only had one bloody nose in my life and that was when I was a child. (Didn't find the tumor until I was 18.) Headaches are a part of it, but not the bloody noses, AFAIK. Everyone is different. It would depend on where the tumor was located, how big, etc. I had hydrocephalus (water on the brain) and that's how we found out about my tumor. I was seeing double, vomiting, dizzy, etc.......
As it was said before, go see a doc. No one here can correctly diagnose your problem. Good luck!