Welcome to the forum. Can you be more specific? What do you mean when you say that "it always goes back to the home screen"? Does it do that unexpectedly when you're using an app or playing a game? The only thing that should cause the iPad to return to the home screen is if you press the home button...the round button on the face of the iPad.
It's remotely possible that it's running out of memory. Do you close the apps that you've used periodically? If not, you should. Simply double-click on the home button and the screen will slide up slightly to reveal all of your open apps. Touch and hold any one of the app icons until they all start to jiggle slightly. A minus sign in a red circle will appear in the upper left-hand corner of each app. Touch the the minus sign and the app will close. Do that for each app until none are left open. That will free up memory it may need.
If on the other hand it is just returning to the home screen without any reason, then yes, I'd say there's something wrong with it. If that's the case you should call Apple Care and discuss a return. Here is their number in the U.S.:
U.S. Technical Support: 1-800-APL-CARE (1-800-275-2273)
Here is a list of numbers for other countries:
Contacting Apple for support and service
P.S. It would be a good idea to remove your email address from your location profile. Internet "bots" set up by bad guys scour forums and the like to find exposed emails and will use them for spam.