One of these will be the lucky one
Mouse Cursor Freezes, Slow, Disappears on Chromebook FIX [Tutorial]
This tutorial covers troubleshooting the touchpad and mouse on Chromebooks. Use your touchscreen or external mouse to try these solutions if your Chromebook's trackpad or touchpad is not working.
Your Chromebook cursor may freeze or flicker if there is dirt, dust, or liquid on the touchpad. Wiping your touchpad with a clean, dry, lint-free cloth may help it work properly again.
If you are using an external mouse, make sure it is on a flat, dirt-free, smooth surface. Place and use the mouse on a mouse pad if you have one.