Door Panel Cleaning

[StiCy]

I am working on getting the interior of my Subaru legacy detailed. Some of the door panels and trim on the door jam has spots on them. I think they are water spots. What can I use to remove them? I tried wiping it down with a wet microfiber, but it looks like I need something stronger. The door panels are plastic. I know that speaker grille is going to be a pain to clean.
Here are some photos. See all that white stuff on the panels middle "seam" and in the speaker grille?
http://i58.photobucket.com/albums/g268/cyconley/Door%20Pannel/DSCN5550.jpg
http://i58.photobucket.com/albums/g268/cyconley/Door%20Pannel/DSCN5551.jpg
http://i58.photobucket.com/albums/g268/cyconley/Door%20Pannel/DSCN5549.jpg
http://i58.photobucket.com/albums/g268/cyconley/Door%20Pannel/DSCN5552.jpg

[AeroCleanse]

I would use an APC like Meguair's APC.

[Xtian989]

I like Meguiar's Quick Interior Detailer

[Blackthorn One]

Griot's Garage Interior Cleaner works great.

[Z06-Goose]

If you can get the recommended products above, then give it a try, if not, you could try Goo-Off if the stains are too tough to remove like you said. Just try a little bit and rub gently...

[Matt]

I like the Ultima Interior Shampoo gel. I found that cleans up the interior nicely.