Click "request money", then leave all the fields blank and click the blue "request money" button in the popup modal again. It'll give you a deposit address.
Completely intuitive - I know.
That is a serious flaw. I was thinking they had evil intentions.
It doesn't seem to be advertised well on the main page but you can go to account settings and then bitcoin addresses to see addresses associated with your account you can send your btc to.
Yes that's the way to do it. No need to "request money" as explained by someone else.