Cleaning rear projection

[IStoleYourUsername]

Howdy...I acquired a Philips-Magnavox 9P6034c103 60" rear projection TV.
The thing has a horrid picture. I took the front screen off and the mirror is filthy with a thick layer of dirt and grime as are the 3 color lense thingies.

I removed the back cover and inside is massive quantities of thick dust and dirt.

Would cleaning this up help before I think about spending the $$ to get a repair man to come look at it?
What sort of cleaner can be used on that mirror and the lenses?
Can I just use an air compressor to blow out all the dirt and dust? Or, could I stick a vacuum cleaner hose in there and suck it out?

Here's some pix