I am suddenly having a problem with my home button not working right. It will not open my tablet until I press it several times. Any answers out there?

If any of the physical buttons of your device do not work, your device will require repair. The physical buttons must be used to trigger a variety of recovery actions - such as a forced-restart or DFU Recovery. If you are unable to trigger these actions, it is only a matter of time before you encounter a situation from which you cannot recover.

iPad Repair - Official Apple Support

Genius Bar Reservation and Apple Support Options - Apple

Make an appointment at the nearest Apple location to have your iPad evaluated for free.

Once the diagnostics are complete, the staff will explain your options.

Make a Genius Bar Reservation

https://www.apple.com/retail/geniusbar/