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I want to get my dorm room/bathroom really clean (scoured from top to bottom), how/what products should I use?

I wasn't sure how to go about it, but when my roommate and I moved in it was in pretty poor shape and we're tired of living with it, so we're moving all our stuff into other people's rooms for a weekend and just cleaning everything. Here are the things we have:

-linoleum flooring with asbestos =(
-painted cinder block walls (the problem with these is that they were painted kind of slipshod, which left lots of little holes that probably have dirt/dust in them, and maybe even bugs)
-painted drywall
-tile flooring in the bathroom; the filling between tiles seems to absorb water and doesn't dry for a while, which sometimes creates an odor
-windows with painted wooden frames
-a painted metal heating unit
-walls made out of some kind of composite material, probably part plastic
-fake wooden furniture--the problem here is that windexing doesn't seem to get dirt out of drawers, it just ends up pushed into a corner, and the vacuum doesn't get it too well, since there are hairs and things
-a chair with thick rough cloth covering the padded parts (I ask about this because both our chairs were stained, so we've been using coverings)
-ceramic toilet
-ceramic sink
-plastic shower curtain
-plastic shower head
-faucets and fixtures are some kind of metal that doesn't seem to rust, but has gotten dull and has a kind of white build up that we haven't been able to get off
-panelled ceilings
-window screens (is there a way to clean these without taking them down? we get fined if we get caught removing them)
-lastly, a mattress with a kind of plasticky cover; ours came with small stains, can we just windex them? we didn't want to mess up the mattresses or anything since we'll get charged

help is really appreciated; we're trying to make our room seem almost like new, and kind of remove the dirty buildup of fifty years of students living in it (yup, it's an old building). Any help is really, really appreciated; my roommate agrees with me, especially since he just noticed a water stain on the ceiling. Thanks!

wooden moulding