Could not getting enough sleep affect the way prozac and ritalin (methylphenidate) work or cause then not to work as well?

Yes. : You might have anxiety that you might need to address to help you sleep at night. Try to see a psychologist to teach you cognetive behavioral therapy

Sleep deprivation : interferes with overall cognitive function and general physical and mental health, regardless of medications. Inadequate or inefficient sleep has been implicated in many disorders, of which depression and poor concentration are two ( of many).