I can see why your mom is "spazzing out". As a mother myself I can relate to her fear. It is a very very very scary thing having a child with suicidal thoughts. Teenagers are known to be very impulsive, and the Prozac might contribute to that.
The fact that you mom is "keeping a close eye on you" shows how much she cares about you. She doesn't want anything happening to you. She's "spazzing out" for a very good reason, she loves you. She's probably well aware of the warning on Prozac, that it can increase suicidal thoughts and behaviors in teens.

Losing a child is the absolute worst thing that can happen to a parent. Of course your mom doesn't want that to happen. She's scared for you because she loves you.

I hope the Prozac will help you feel better, please tell your mom if it makes you feel worse.