Too much "suckage"

[beenthere]

Does the basement heat and cool ok?

You don't have enoguh return for your first and or second floor. If you did, the door wouldn't be drawn closed.

The return ducts could be the problem, or the grilles.

The one bedroom in my house. The door will blow open. That doesn't mean it has too much supply, its light on return.(and I ain't fixing it)

[RyanHughes]

The basement doesn't really heat okay; it stays cool year round. Upstairs, I have some doors that will be shut due to the supply air (but not slammed). I know I'm light on return upstairs. I can tell by putting my hand up to the return--airflow not very noticeable, but you know it's bringing air in with the dust accumulation.

[beenthere]

Part of your basement being cool, is that the coolest air is always dropping to it during the off cycle.
The next reason is probably because the supply registers don't throw the hot air to the floor when it runs in heating mode.