M 19, can new onset headaches that persist for a week and a half go away for a week and come back a little bit symptoms of a brain tumor?

Confusion, Dizziness, memory loss, slurred speech, loss of balance, weakness on one side of the body, seizures or blurred or double vision could signal a stroke or brain tumor, so always demand prompt medical action in those circumstances. Isolated headache is rarely caused by brain tumors.