Thomas,
It sounds like your car is just like all of ours. You need not be afraid of being "firm" when shutting the doors with the screens on and with the hood up. If you feel it is a little stiff, do run some light oil into the hinges and VERY lightly oil the door lock so to keep your clothes clean.
When shutting the door with the hood up don't forget to put your hand out of the window to lift the hood flap over the top of the side screen.
Better still, don't use the screens and hood unless it is really raining!!!
