Answer:
[OPINION]
First one is correct.
For the second one, I think the leader should accept the invitation and forward it to the entire team. [As the team experienced success due to group work, so every team member should be invited... as the success was a result of the hardwork of every member]
About the third one, I think it depends on the person so you may be correct. But, if I was asked to choose I would have been chosen.... rational approach
This is just my opinion. Hope it helps you:)