I am not able to send or receive group texts with other phones that are not iPhones

See if any of the recommendations from Apple fix your issue If you can't send or receive messages on your iPhone, iPad, or iPod touch - Apple Support

Your issue appears to have the ability to send SMS messages (Green Bubble). The above link sheds some light on that subject. Hope this solves your issue.

Axel F.

Check in Settings > Messages and be sure MMS is turned on (this is required for group texts and photos). If it is on but still not working try turning it off and back on. If that doesn't work contact your cell service provider and have them check the provisioning on your iPhone.