Thank you for your reply,
I did read the forums for similar issues related to this before I posted.
No, I do have the Match Point Setting enabled. The only Win Condition I have enabled is the Last Standing Ends Game Enabled.
Yes, I do have more than 1 player per team, as it is a 2v2 map. I would like to state that this is my first time making a map with more than 1 player per team.
I assign players to different classes and teams during a choose your teams and loadout session at the beginning of round 1. They are then sent to the arena to fight at the end of round 1, and when they die, round 2 should be triggered. I used different classes since these stay between rounds.
I have attached the settings I think would be relevant to this discussion.
I do reinstate that my game works as intended in the playtest session, but not in a published map.