So my mouse moves when I move the mouse, but not as it should, i.e. It's practically frozen to one point. If I drag the mouse where it follows the movement but then jumps back to the point.
I tried plugging them into other USB ports and I connected another mouse but had the same problem. When I connected the mouse to my laptop, it worked, but not on my PC (Windows 7).
Try loading a new driver for the mouse - or going to Windows 10.
Windows 7 no longer gets updates,
But you can go to Windows 10 for free
Since it is unlikely that your mouse itself is the problem (= because it works on the other PC and vice versa, another mouse on the same PC causes the same problem), it will indeed be due to your mouse driver on the PC.
Therefore go to Control Panel → Mouse → Hardware → Properties → Driver
(can be different under Win7; if necessary, call the device manager (see below) and find the same entries by right-clicking on the mouse)
There, under "Driver details", you can check which drivers are currently being used, then a (convenient, but rarely successful.) Method of updating them using "Update drivers".
At least with the driver details you can also search for newer drivers with the search engine of your choice (and of course also on the homepage of the mouse manufacturer) and upload them manually on the PC.
The following approach is simpler, but in many cases already sufficient (by the way with all hardware that somehow spins): Go to the device manager (eg Per Win-R, "devmgmt.msc"), select the mouse there and press "DEL" Button. Then reboot the PC. The operating system will then find the mouse as "new" hardware and reinstall the driver again.
If all of this doesn't, buy a new mouse from another manufacturer. Connect via cable if your old mouse was connected via Bluetooth - or vice versa. Or if it is a Logitech wireless mouse: integrate the mouse directly as a Bluetooth device without a Logitech dongle; or vice versa instead of using Bluetooth as before, the Logitech wireless dongle.
Say: Change the connection medium, so that Windows must also use a different driver.