For the red screen, see https://support.microsoft.com/en-us/topic/the-surface-pro-3-startup-screen-is-red-1ae3db8d-933b-a722-0e30-6bbc1648f014
For the keyboard issue, this may be a hardware issue on the SP3 (which is no longer supported by Microsoft).
You stated that "I've loaded multiple versions of Windows. Original Windows 8, Windows 10 and Windows 11" - Windows 11 was never supported on this device. What did you do to install it? You should be only reimaging with the Windows 10 official downloadable Surface Pro 3 recovery image (and you'll need to arrange for the extended security update support).
Again, this device is not longer supported by Microsoft. It's 11 years old. You should consider replacing it.