I keep having to wake up at night because of diarrhea. Is this normal?

No. If it is acute you should check for infection.
Probably not. My practice is limited to liver. I would recommend to see gastroenterologist.
No. Waking up at night with diarrhea is not normal and should be further worked up for above conditions.
No. This could a symptom of colitis, an inflammation in the colon. I would recommend seeing your family physicain to see what may be the cause.