Why can't I use mobile data on my IPhone 5 with some apps?

I know it's not T-Mobile. I've already tried restarting it. I've already reset all network settings. And still nothing. With Wi-Fi everything works normal. But with 4G everything works EXCEPT the mail app, safari, and sometimes google chrome. Why is this and how do I fix it? I've also have gone to settings> cellular and looked under the "use cellular data for" section and all that shows up is face time and wallet. I'm lost

Sounds like you've already done all the right things. I assume you have Cellular Data ON and Enable LTE ON for both phone and data in your Cellular settings.

It's strange that only two apps show up in your "use cellular data for" list. On my phone, All my apps show up. There's one more place to look at whether cellular data is turned off -- In Settings, in your list of apps, each app has a "cellular data" option.