I can send a group text and my recipients are able to see my messages, but when they reply, I do not get their texts back?
Try switching over to Samsung messages and see if the texts come through. There is some glitch that happens sporadically on Verizon Messages + I have found, then switch back.
Just to rule some things out, has this happened multiple times with a multitude of people? Often on the other end of a group message the person can choose to not "reply all" and pick the recipients it wants to respond to. Are you perhaps not being selected on accident?
Did you have an iPhone before?