If it is not moving from the middle or the top left corner of the screen, then it probably lacks the necessary driver for touchpad support.
It would help us a lot in trying to help you, if you explained very precisely and extensively what exactly would help. This way we can understand your situation a lot better.
You don’t need anything like that. Just use one of the keyboard shortcuts for entering a terminal.
https://www.howtogeek.com/howto/22283/four-ways-to-get-instant-access-to-a-terminal-in-linux/
Yes, just as in Windows. It’s the same behaviour.
It seems like the application you chose fails to start and then crashes, which may seem to the user like you are “returning to the desktop”.
What exactly do you need solved?
In your case, since everything seems so broken, I would verify that your installation is correct.
See Q6 in the FAQ:
It explains how to verify that the ISO you put on the USB stick or DVD isn’t faulted. If the verification fails, this could be a reason for the live session to go as you described. In that case, you need to re-download the ISO, make sure it matches the corresponding hash, then re-flash it onto the USB stick or DVD. Then try using the live session, once again.