Yes.
"Both them and us were excited" is not correct usage. Look at how the pronouns would be used separately, then combine them in one, correct sentence. You would say "They were excited" not "Them were excited." Similarly, you would say "We were excited," not "Us were excited." The correct combination would be: "We and they were excited."
Yes, it is correct to say that you do sports. I do sports. You do sports. He does sports. She does sports. Fido does sports. We do sports. All of you do sports. They do sports.
You can say either "excited to" or "excited about" an upcoming event, as both are commonly used and grammatically correct. It just depends on your personal preference.
It would be play, as the sentence would read for example, 'Do you play different sports?','Pintsinker has played many different sports in his lifetime', or even 'Pintsinker is hopeless at playing different sports'.
in France they say many different sports but do you mean what sports do the play in France?
Yes.
Answer It depends on the man. Everyone is different, you can't say all men or no men are excited by anything.
No "girls sports" is correct.
You would say "Ke ʻoluʻolu au" in Hawaiian for "I am excited".
The correct way is, "different from yours".
The correct way is, "His shirt is different frommine"
No. That would mean "excited like a cliff " which is nonsense. Use a word like "clearly" or "plainly" if you mean the excitement is evident; like "thoroughly" or "totally" if you mean it is all-encompassing.