Thank you very much, Writeacher. I left out the following sentences.

1) I still haven't got asleep even if it is almost 2 am.
2) I've already seen Almost Friends with my best friend.
3) I haven't visited the town museum yet.
4) I have just arrived from the studio where we practised.
To get/to have good reviews.
5) We've also released (not "had") a new single (not "solo").
When do you use to do "sport"?
6) Is the expression "to practise sport"?
7) Do you practise any sports?
I haven't been to (in that? supermarkt yet. (are both to and in possible?)
8) I still haven't played games with people online.
to do exercises (example maths problems), to do translations, dictations, but to take exams.

1) I still haven't got to sleep,even if it is almost 2 am.

2) OK

3) OK

4) OK

... to get good reviews = means that the critics are writing favorably about whatever (movie, book, song, etc.).

5) We've also released a new single. <~~yes

When do you use to do "sport"?
The wording "to do sport" isn't used; you can play a sport/different sports; you can practice a sport/different sports; you can watch a sport/different sports; etc. But generally "to do sport" or "to do a sport" isn't used. A child might use that phrasing before s/he picks up the normal phrasing from his parents or other adults.

6) Is the expression "to practise sport"? You might practice baseball or go to baseball practice, but the expression "to practice sport" isn't standard. I used to say this about my son: He plays different sports. He loves to play different sports. He plays only one sport well. Etc.

7) Do you practise any sports? <~~Now THAT one works!!

I haven't been to (in that? supermarket yet. (are both to and in possible?) <~~yes

8) OK

to do exercises (example maths problems), to do translations, dictations, but to take exams. <~~Yes, those are all correct.