Is this Narcissistic behaviour?

Remember that narcissism isn't recognized in any scientific or medical sense. It's a broad concept. If you feel that you're around people with narcissistic habits, it's worth exploring.

Yes definitely. I have one in my family :/

I don't understand how people can be competitive with family members.

Not necessarily, they’re probably just unhappy. Narcissists are mean, play wicked mind games and put people down often with undercutting “compliments”

Yes , because if they seek to have all the attention on them and never compliment anyone else that tells you all you need to know right there

Do they lack remorse and empathy?
Do you have grandiose fantasties?

If yes to both. Then yes.
If not, can't be certain.

No that's jack-assory! Who wouldn't want their own family members to succeed in life ffs?

It's certainly usually a part of it..