I like the idea that you have come up with here but don't think that the execution is quite right yet. Without reading the explanation, I couldn't really understand what the logo was. I would try some different imagery focusing on the pocket of the tshirts. Keep working on this concept.
I read your synopsis, and nowhere do I get that this design has any attributes to pockets.
I would change the name and call it 'cubetee' because you're packaging it in a cube, in small cubes, then you could come up with a funky as 3d logo to sit on the side or around the packaging (almost like you have to pick up the cube and turn it all the way around to read it)
The font you have chosen is fairly dull and not that inspiring, do a little bit more research, into different fonts. You really want one that pops!
Good Luck!
Play with color of black shape. And what about theme? What does this logo mean?
i like the idea of a 3d cube.
how about BoxTee for a name.