With regards to nose bleeding could be as a result of:
- hidden (unknown) hypertension
- damages to the local blood vessels in nose
- possible brain injuries
I suggest to contact ENT specialist
for further evaluation and get proper treatment in time.
With regards to the lump located on the back of your neck, I suggest to get physically checked by your physician/ENT to rule out possible infection of the skin or other problems.
All the best!