How can I fix my iMac screen being Unstable?

Vadekewi wrote:

It also will magnify on its own.

it sounds to me like you have discovered "smart zoom". When active, if you lightly double tap your Magic Mouse, the screen will zoom in or out. It is very sensitive, and you may not notice that you double tapped. you can go into System Settings > Mouse in the "point & click" tab and turn off "smart zoom". (if you are using Monterey and before, the preferences panes will look different, but the setting is still in the "mouse > point and click" section)

then the unexpected zooming should stop. but if smart zoom is the cause, you may want to get used to how it works. since I started using it, I have wondered how I ever lived without it.

Vadekewi wrote:

My screen moves when I try to interact with it. It also will magnify on its own.

A SafeBoot Use safe mode on your Mac - Apple Support will sort many anomalies

Does a quick disk repair before it fully boots up, and certain system caches get cleared and rebuilt, third party system modifications and system accelerations are disabled temporarily.

Login and test. Reboot as normal and test. Caches get rebuilt automatically.

Vadekewi wrote:

I forgot to include that it is the Safari browser that jumps and where the screen moves. Not anywhere else.

that indicates to me it likely is smart zoom. have you tried turning it off?