1. Are the second parts in these sentences correct without "angry" and "exercise"? They would be correct, but you need to remove 1. get and 2. do "I used to get angry, but I don't any more." "I used to do exercise, but now I dont.

I used to get angry, but not any more. or I used to get angry, but now I don't. I used to exercise, but now I don't. or I used to do exercises, but I don't any more. (you can use both endings) Yes, you can say "I don't." #2, I will let the British answer that one. In American English we use: (to) play sports

You can't say - I like that. (Another person)I don't." It is another person doesn't. (don't is short for do not; doesn't is short for does not.) I don't like it. He doesn't like it. No we don't say do...a sport. We say play sport. For most team sports we say play....football, cricket, tennis, basketball etc. But that doesn't apply to all sports. You don't 'play' track and field type events, or things like cycling.