That interface makes it look like it would take a long time and can't really go very fast on that and I wouldn't think you would really get very far... Not for me anyway
you can rotate both ways, tap on the left to rotate left, tap on the right to rotate right.
the biggest issues with the game (for me at least) is softdropping.. it's a slow swipe down. it's easy to get diagonal movement on the way down, and it's really easy to have the T lock on the softdrop before you can rotate it into place. sometimes you swipe to fast and your soft drops hard. the slow speed seems to cater to TSDS until the soft drop issue. I set the speed to level 10 to avoid softdropping. harddrops can go diagonal as well, but not so much