Insanity and madness are arcaich terms no longer used. Schizophrenia is ONE psychosis. Psychosis is singular, psychoses is plural, ergo more than one.
Im no doctor but i would think yes and no. You can be schizophrenic but you can also not be and have these problems. especially if you have alzheimer;s or if you have had a brain injury. But like i said you can have psychosis and be considered schizophrenic. I get the feeling i didnt help much. Sorry