Dreamer - Please list out all your parts so we can help you?
I'd suggest focusing on two circuits:
1. A power circuit: comprising a power cord, power entry module and switch that are wired to a surge-suppressor style power strip like you have your computer plugged into. You can then install the power strip inside your projector and mount the switch and entry module (which the power cord plugs into) on the outside of your PJ. Some will advocate a fuse or circuit breaker as well, which is not a bad idea.
Then you have something to plug in all the rest of your electrical parts: the LCD power supply, the 12V fan transformer, and the lamp circuit.
2. A lamp circuit: this will comprise a lamp socket and a ballast of some kind. How this is wired up will depend on the type of ballast you have.
You can certainly get help online with how to wire these components. It's all out there somewhere, including in the building guides.
Or you can send your parts to someone who can wire them up for you and send them back ready to use. Without a basic understanding of electricity, in particular AC power circuits, you are kind of playing with fire.
I have an extra switch, power module and cord which I could wire to a power strip for you and also include a circuit breaker for protection. Then you would need help wiring up your lighting circuit - lamp socket and ballast.
Your LCD circuit is already wired. You simply need a power socket to plug it into. Assuming you have a 12V fan, this is extremely easy to wire to a 12V wall transformer. You basically can't hurt yourself doing so. And if you wire it backwards, the fan will likely just turn backwards or not work at all.
I'm sure once you list out your components, you'll get many volunteers to help you wire them up correctly.