In addition to the other answers provided, if at any point you want to access the menus in the menu bar using only the keyboard, you can use control (⌃) + F2 to move your focus to the menu bar, then use your arrow keys to navigate the menus.
For example, this would allow you to access the Edit > Erase... option within the Disk Utility menus.
Additionally, this would allow you to access the Terminal by selecting Utilities > Terminal in the macOS Recovery menus.
From Terminal, you could run diskutil commands to erase the internal disk.
diskutil list will list all the disks the system is aware of. If your goal is to erase the internal disk, there is a good chance that will be listed as /dev/disk0 (internal).
Here is a sample from my MacBook Pro that shipped with a 512GB drive.
/dev/disk0 (internal):
#: TYPE NAME SIZE IDENTIFIER
0: GUID_partition_scheme 500.3 GB disk0
1: Apple_APFS_ISC 524.3 MB disk0s1
2: Apple_APFS Container disk3 494.4 GB disk0s2
3: Apple_APFS_Recovery 5.4 GB disk0s3
You can then run the diskutil eraseDisk command to erase the internal disk using the HFS+ format, and labeling it as the default "Macintosh HD".
diskutil eraseDisk HFS+J "Macintosh HD" /dev/disk0
The disk will then be fully erased and ready for a clean installation of macOS.
⌘-Rwhile booting. You can erase the disk from here via Terminal and also diagnose the mouse issue. Is it still happening? – Allan Feb 01 '20 at 16:23