Q: In 9.2.1 links in emails and on web pages aren't working in Safari and other browsers

HI there MisterQuint,

If I understand correctly you are tapping links in emails and webpages but for some reason they aren't loading. Given the troubleshooting you've already done I would suggest backing up your device to iTunes, then restore it as new and verify that it works. 
 
How to erase your iOS device and then set it up as a new device or restore it from backups

If it does, then restore your backup to either verify it still works and the software just needed reinstalled, or isolate the issue to the backup file itself. Thank you for using Apple Support Communities, let us know how that goes!