I just joined the Accord life (2 days ago-2011 SE) and I think I already have an issue!!!
When I shut the drivers side door, it doesn't close all the way (it does make a partial close). The same with the rear door.
Now if I close Hard, not really slamming but with some force there is no issue and it makes a nice new car closure, but a normal (slightly less then full strength) and it doesn't completely close. This happens repeatedly

Now it seemed to be ok if one of the doors was open but I'm not sure, i think i was closing too many doors. but it seemed if drivers door was open, rear door closed ok and vice versa.

Do I need this fixed? Or someone suggested that the car is so well sealed that this is normal when it's brand new.
Help!?!?

 

I don't know. I would go back to the dealership and try opening and shutting other new 2011 accord doors to see if this is normal.

You are under warranty, so get it documented and addressed.