30 minute games are considered Rapid. This is an older article, so Standard is now called Rapid:
https://support.chess.com/customer/en/portal/articles/1444851-why-are-there-three-different-ratings-in-live-chess-
If you are on the default site, you will have access to all your game history. If you are on the old site, you are limited.
Finally, the full stats can be found by clicking the Full Stats link on your profile, on the stats panel. You can also get to them from the main menu on the default site, and I think the old site too.
First which category are the 30 min games under? I'm
Not sure what blitz covers or what rapid covers etc.
Second does a membership give me access to more of my history. Right now I can only see a certain number of history games. Does a membership change that or give me access to more stats.
Third where do I see my record when playing black and when plying white?
Thanx for any help