1. It's probably not a good idea because schizophrenia is usually familial. Psychedelics can be a very stressful experience and antischizophrenic medication actually acts like the opposite of a psychedelic in your brain.
2. No, the few who do report "flashbacks" are usually confusing them with anxiety attacks. People who are susceptible to panic attacks probably shouldn't go shrooming.
3. You can eat them but lots of people like making tea too.