How do I unlock orientation? No screen.

Sometimes, computers (and the iPad is a computer) needs to be shut down completely.
try the following, it won't erase or delete anything :
- hold down, both at the same time, the "sleep" button and the "Home" button, and don't let go for at least 10 seconds or until the Apple logo appears.
i do this about once per month to avoid problems such as yours.

if this doesn't work, you can delete the App and reinstall it from the App store.

What model number is it and were the apps on the tablet only or were they in amazon cloud also.

Here's an article with 11 methods to help you speed up your iPad.
iPad running slow These speed tips give it kick up the behind

You can also make your iPad faster by deleting unwanted videos on your tablet. Feel free tor read this tutorial. http://www.leawo.org/tutorial/how-to-delete-movies-on-ipad-to-free-up-storage-space.html

Tap Home to continue using your iPad. Double-tap the Home key when you are ready to unlock the screenorientation. Slide the Multitasking menu to the left to view the orientation lock icon. Tap the orientation lock icon.

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Did you try going to settings , scroll down untill you see the solitaire app and click on the solitaire app thing and see what you can change?

Tap the settings icon that looks like a gear in the top right corner of the screen and there should be an option to lock and unlock the screen orientation.

Next to the volume control buttons, there is a slide switch that can be set to either unlock the screen orientation or mute the sound. These choices for this button are made in the setttings (gear icon) of the iPad. An easier way to access this function is by the control panel which is accessible by sliding one finger upward at bottom middle of your ipad screen

If your kindle are frozen and won't turn off so, firstly reboot your kindle this is done by pressing the side button minimum 20 to 40 second and screen are blinking so, give the kindle about one minute to start backup.
What to do when Kindle Stuck on the Start screen

Double click home button
then scroll with your finger to the right look for first icon with a 3/4 circle with arrow tip that icon allows you to lock/unlock portrait mode