windows 10: Weird mouse movement (jumping and circle seen)

Possibly this is a motherboard chipset soldering / heating issue. The north bridge of the mobo is responsible for video rendering, and due to overheating (and cold soldering) the chip starts acting weirdly. There's nothing much you can do at home, better diagnostics can be done in the lab (and chip replacement if possible). Check if the laptop is still under warranty, and consider replacing the motherboard. Just to make sure - if you have a spare hdd drive you can try and install clean OS, and then run some video check like 3dmark. If it fails / starts to glitch / gets stuck - chipset.

The problem is usually with the touch screen, but I don't know what kind of operation you did when you "removed default touch pad mouse hardware". Maybe you should undo what you did and follow the advice below.

The usual advice given by Microsoft is :

Method 1 - Hardware and Devices troubleshooter

• Type troubleshooting in the search bar
• Select Troubleshooting
• Select View all on the top left corner
• Click on Hardware and Devices
• Follow the on-screen instructions to run the troubleshooter
• If the issue persists, move to the next method.

Method 2 - reinstall the Human Interface Devices driver

• Press Windows+X and select Device Manager
• Search for Human Interface Devices and expand it
• Right click on the Touchscreen and select Uninstall
• Restart your computer to install the Windows drivers.

If this does not help :

• Try another mouse.
• Try closing and opening the lid whenever it happens. If this solves the problem keep on doing it for a few days - some people report that this solved their problem.
• Perform a clean boot in Windows and if this helps then the problem might be caused by some installed application.
• If the computer is still under warranty, ask for a touch screen replacement. If they refuse let them fix the problem themselves.