If the screen is stuck, then you have no recourse to menu options, of course.
First, is your Kindle at, at least, 40 % power capacity?
If so, try this:
Hold the Power switch for 20 or 30 seconds, to try a hard reset or total reset.
When you release the switch, immediately hold down the Home button.
Wait for the Kindle screen to flash.
Then allow it plenty of time to reboot, at least several minutes.
After which, the Kindle has failed in all that I can offer, I'm sorry to have to say it. Call the Kindle Support number, they will know of anything else that might be done.
If this completely answers your question, please rate my answer. Thanks.