I think if you choose a different option, he will tell you his name.I saw once, is that important for you?Maybe i can abandon Logan for one day,and let's figure it out.(You don't have to do more,they are made for each other in the game)
[Solved]
[Full Moon]After looking for his friend,he will ask you when you leave.
Then you "agree " to go to the tavern with him.