MY IPAD WILL NOT PLAY VIDEOS

Some videos you'll encounter are in Flash format, and there is no Flash player for iOS. If the videos you want to watch are indeed Flash, try iSwifter, Puffin, SkyFire, Puffin or one of the other browser apps that will play at least some Flash content.

Regards.

Along with Varjak's great advice, you can also look into the facebook and youtube apps themselves, they are free in the app store

Are you using the Facebook app, or your browser?

Adobe has not made a version of Flash for the iPad.

Kappy explains why. https://discussions.apple.com/thread/4259344?answerId=19446567022#19446567022

5 Flash Player Alternatives http://www.techshout.com/features/2011/01/flash-player-for-ipad-apps/

Top 4 browsers supports flash player on iPad and iPhone

http://mashtips.com/flash-player-ios/

 Cheers, Tom 😉