I get his texts but he doesn't get mine?

Okay… So my dad and I are trying to work out this texting problem. I own an itouch 5c and he owns an iPhone 5c. I get his texts but he doesn't get mine. Same with my mom, she doesn't get mine.

You should really go to your phone provider and get this sort out.

What network? I'm having issues with verizon. I'm not verizon but family is and I can't get their picture messages. My carrier says it's on Verizon's end.