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It sounds like the issue with iMessages not sending, and Facetime not working is intermittent.
Intermittent issues are sometimes the most frustrating, so lets see what we can do.
I suggest these 2 parts of the article named iOS: Troubleshooting FaceTime and iMessage activation found here http://support.apple.com/kb/ts4268
- Go to Settings > FaceTime, tap your Apple ID, and select Sign Out.
- Go to Settings > Messages > Send & Receive, tap your Apple ID, and select Sign Out.
Next I would reset the network settings on your iPad and test again:
- Reset network settings by tapping Settings > General > Reset > Reset Network Settings.
- Note: This will reset all network settings including: previously connected Wi-Fi networks and passwords, recently used Bluetooth accessories, VPN and APN settings.
From: iOS: Troubleshooting Wi-Fi networks and connections