Hello c.shorewood,
Thank you for providing the details of the issue you are experiencing with accepting Terms & Conditions on your iPhone 5.
First, I recommend restarting your phone and then resetting if it's still not working:
Restarting your device
- Press and hold the Sleep/Wake button for a few seconds until the red "slide to power off" slider appears, and then slide the slider.
- Press and hold the Sleep/Wake button until the Apple logo appears.
Note: Reset your device only if you are unable to restart it.
Resetting your device
Press and hold the Sleep/Wake button and the Home button together for at least ten seconds, until the Apple logo appears.
You can find the full article here:
iPhone, iPad, iPod touch: Turning off and on (restarting) and resetting
http://support.apple.com/kb/ht1430
If you can access your home screen, I also recommend verifying that cookies are not blocked and private browsing is turned off in Settings>Safari:
iPhone User Guide - Safari settings
http://help.apple.com/iphone/7/#/iph3d7aa74dc
Thank you for using Apple Support Communities.
Best,
Sheila M.