Make or do sentences

1) Please don’t make a fuss when you are late. (This sentence is fine but, you could also say, "Please don't make a fuss if you are late."
2) I’ve made a short speech for my sister’s wedding
3) I’m trying to do sports exercises 3 times a week. It does me good. (I might instead say, "I'm trying to exercise 3 times a week.") Usually, we say "to exercise" instead of "to do exercises," unless it's a very specific exercise such as, "I'm trying to do yoga exercises," or "I'm trying to do core strengthening exercises." 
4) I don’t like to do ironing but my wife does (This sentence is also fine the way it is but, you could also say, "I don't like to iron but my wife does," and in this way "to iron" becomes a verb instead of a noun). 
5) I’ve done research before buying the car (This sentence is also perfect the way it is but, you could exaggerate how much research you have done, such as by saying, "I've done lots of research before buying the car.")
6) I’ve made a suggestion about tomorrow's weather
7) I’ve made an appointment with the project team
8) She spent a lot of time doing her hair, but when she went outside the wind ruined it in one minute
9) The Vienna made a great impression on me (I wouldn't include, "The," in this sentence and would simply say, "Vienna made a great impression on me." 
10) The wind was very strong but it didn’t do me any harm
11) Please stop talking and do some work
12) Mike did really well in the tennis competition

Overall, excellent sentences! There were very few mistakes to correct! You deserve a pat on the back! =)