Gosh, Timmy, get it right!

It's improper to say me in a sentence like that. Instead of what he said you're supposed to say "Can John, Mark, and I be in a group?"

Or to focus more on his original words, "Can John and I be in a group with Mark?"
But that's not what I mean. I get the grammar, not the part that's supposed to make it funny

The funny part is supposed to be the "and iiiiiiiiii" in the song "i will always love you."

Is it? Oh... Thanks