Keeps going back to the home page byitself

Is it possible that your Facebook apps are not up to date? Go to the app store and then click on your updates and be sure to update the messenger app if it is not up to date. Alternatively, you can go to facebook.com on your safari browser and message from there.

Double click the home screen and kill the facebook app and the facebook messenger app

Then try reopening both applications.

settings - security - run apps from untrusted sources
check this in the settings
could be
run apps only from trusted sources

Make sure all your software upates are complete and goto App store and try downloading app.

Try uninstalling app and reinstalling. First check for Update

i'm sorry this does not protain the word tablet .

Assuming this app is on an iOS device (Apple). Following these Several steps should resolve your issue, firstly quit the app entirely by using four fingers swipe up on the tablet, or press the home button twice, either step will show the active apps, find the Facebook app, then with a single finger swipe up, this step should see the app move upwards on the screen, quitting the app. Theis next step requires you to hold the power button and the home button at the same time, until the device shutsdown and the logo appears, then let go of both buttons allowing the device to start/boot completely. Locate your Facebook app, start it, does the problem still exist? If after the above steps you still have the same issue, you can delete the app, by placing your finger over the app & holding until the app jiggles and shows an "x" in the top left corner of the app graphic, touching the "x" will remove the app from your device, you can then re-install the app, finally you may simply need to check to see if the app needs to be updated, by opening the AppStore, and selecting Updates, if an update for Facebook is available for you it will show up here. I hope something within the information has helped.

let's start with the basics first in order to solve your tablet issue. Once we go that, we can move forward as necessary.

It sounds like you need to use a antivirus app to clear your device of any bad apps with malicious bugs. You can search for avast or malwarebytes in your device's app store for this. And if you'd like to perform a factory reset on your device, then you can use the manual that came without to learn the unique procedure to make this happen. Just double check that you've downloaded any photos and/or other important documents that you might need before the factory reset.

Please let me know if this helped you or not.

have you software updated it