I didn't have to "verify" or "enter any deposits into my etsy account". I think that is the old process. Now, all you have to do is sell, and ship! Don't worry about the red tape kind of confusion on what to do. It is all done for you.
If your "shop payment account" says your deposits can start August 28th, then you do not need to wait 10 days for the verification process. I didn't wait either, that 10 days was waved for me and it looks like for you too? Depending on when you signed up... was it 10 days ago? if so, then you did wait the 10 days.