Update:
Honestly I called Sprint and said, "I'm not getting my picture mail on my phone, but I do get them on the Sprint website."
She said, "let me reset your picture mail account, just one moment."
Then she told me specifically to take the battery out for 2 minutes, and then turn my phone back on and she sent a sample message.
I purposely made sure my picture mail app was *not* open. I received her picture message.
Then I had 6 different friends send me a picture message... and *all* of them have come in a very timely manner and gave me the "new picture mail" message on my phone.
So far, by having your sprint picture mail account "reset" you will start to receive your pictures on your phone again. (If you had the problem in the first place.)
By the way, just to add to it, after every picture I got out of the 6, I closed the picture mail app again to make sure it did not need to be open. Thankfully it didn't.
Problem possibly solved.