Does anyone have......

Have you tried the simple things first: power down and restart the iPad Mini, then softe reset, als called reboot, by holding both the power and home buttons until the apple logo appears (ignore the red slider) and it restarts. Those steps often clear minor problems.

But you can login to your wireless network and the internet with no problems? And use other internet functions?

Curious since I use a regular iPad and have no isues like this, but don't have a mini.

Have you tried Software Update and App Store Updates to see if there are updates to the software for the mini?

Using FaceTime http://support.apple.com/kb/ht4319

Troubleshooting FaceTime http://support.apple.com/kb/TS3367

The Complete Guide to FaceTime + iMessage: Setup, Use, and Troubleshooting

http://tinyurl.com/a7odey8

Troubleshooting FaceTime and iMessage activation

http://support.apple.com/kb/TS4268

Using FaceTime and iMessage behind a firewall

http://support.apple.com/kb/HT4245

iOS: About Messages

http://support.apple.com/kb/HT3529

Set up iMessage

http://www.apple.com/ca/ios/messages/

Troubleshooting Messages

http://support.apple.com/kb/TS2755

Setting Up Multiple iOS Devices for iMessage and Facetime

http://macmost.com/setting-up-multiple-ios-devices-for-messages-and-facetime.htm l

FaceTime and iMessage not accepting Apple ID password

http://www.ilounge.com/index.php/articles/comments/facetime-and-imessage-not-acc epting-apple-id-password/

Unable to use FaceTime and iMessage with my apple ID

https://discussions.apple.com/thread/4649373?tstart=90

For non-Apple devices, check out the TextFree app https://itunes.apple.com/us/app/text-free-textfree-sms-real/id399355755?mt=8

 Cheers, Tom 😉

Have you tried turning off both apps and then signing out of your Apple ID, Restart the iPad and then start the process all over again?

This links may help you.

http://support.apple.com/kb/TS4268

http://support.apple.com/kb/TS3367

http://www.apple.com/ca/ios/messages/