I have a Logitech wireless keyboard + mouse and the computer does not have a clue it's wireless
Which keyboard do you have - I don't expect it but there are issues with some.
If the keyboard is connected with USB this may be the problem. If it is check in BIOS for some settings for keyboard.
When Windows or Mint starts they take care of the connection to the keyboard, but as early on in the boot process as grub that is not the case.
it wont allow me to change the boot option
This is not clear
Can you select operating system, but not enter grub and change boot option?
This is what you write, taken literally
Or, can't you switch between Windows and Mint