Man Cave design and component assistance

Question

Room demensions:
16ft lenght
12ft width
8 ft height 
All new construction, walls are wide open. Looking for the following, AV receiver that can play multii zones with 7.1 Surrond Sound & Outside speakers independelty.To complete the setup I will need a recommendation for an overhead projecter with a budget for both around $1200
bought already:
7 surrond sound speakers 125 watts
2 outside speakers 350watts
 Need:
HD Projector 
AV receiver with 7.1
the room with the surrond sound will also play music from the radio, Verizon Fios, Ipod & Desktop
computer.
The exact details of the speakers are below:
Acoustic Audio 726 7.1 Home Theater Surround Sound In-Wall/Ceiling Speaker System
Acoustic Audio 525 Pair Black 350 Watt PA Stereo Speakers Public Address Sound
In-Wall / In-Ceiling 7.1 Speaker System w/Two Subwoofers!
Model HD-726
System Consists of:
Four HD-650 Front In-Wall Speakers
Two HD-6 Rear In-Ceiling Speakers
One HD-6c Dedicated In-Wall Center Channel Speaker
Two HD-S10 Dedicated 10" In-Wall Subwoofers
Speaker System Power Handling Capabilities: 1375 Watts RMS to 2750 Watts
Authentic Kevlar Cones with Extended Throw Drive Assembly
Rubber Surrounds
Crossover Frequency 2200 Hz (except subwoofer)
Impedance: 8 Ohm
Four HD-650 In-Wall Speakers Additional Specifications
6.5 Inch Woofers
Pivoting Titanium Tweeters
Power Handling Capabilities: 150 Watts RMS to 300 Watts Each
Frequency Response: 30Hz - 22 KHz + 3 dB
Mounting Depth 3.5 Inches
Two HD-6 Rear In-Ceiling Speakers Additional Specifications
6.5 Inch Woofers
Titanium Tweeters
Power Handling Capabilities: 150 Watts RMS to 300 Watts Each
Frequency Response: 32Hz - 22 KHz + 3 dB
Mounting Depth 3.3 Inches
One HD-6c Dedicated In-Wall Center Channel Speaker Additional Specifications
Two 6-1/2 Inch Woofers
Soft Dome Tweeter
Power Handling Capabilities: 175 Watts RMS to 350 Watts
Frequency Response: 33Hz - 22 KHz + 3 dB
Mounting Depth 3.25 Inches
Two HD-S10 Dedicated 10" In-Wall Subwoofers Additional Specifications
10 Inch Subwoofers
Power Handling Capabilities: 150 Watts RMS to 300 Watts Each
Frequency Response: 26Hz – 200Hz + 3 dB

Answer 1

Congrats on the new project! When it comes to component selection everyone has a different opinion, just like with cars, computers, etc... The one thing that pops out to me is the projector. In my opinion your money would be more well spent looking for an actual TV than a projector for that price. After spending a while doing high-end home automation installs for a living, I wouldn't touch a projector under about $15000 or $20000. The quality that is sacrificed with a cheap projector isn't worth the larger screen size in my opinion, but that is just an opinion, and hardly the word of god. 
Also, I see no mention of a screen. While projectors work on nearly any surface, a proper screen will do wonders for the image quality, color saturation, and brightness.
For receivers I am a big fan of Denon. They are priced a bit higher than others, but I have been happy with the build quality and feature set. That being said, unless you really plan to get into tuning the system, don't waste your money buying features that you don't need/know what they mean. If you don't know what the heck it is, odds are that you will probably never use it and it just becomes a worthless bragging point. 
I'm poking around the web, and am curious as to where you got these speakers? I've seen mention of them on AVS forum as "White Van" speakers, and I can't find any spec sheets or the home page for the company. 
Frankly though, most any receiver should do the trick for the 7.1 system, as long as it has all of the features you want, and supports 7.1 BUT if you plan to power two more speakers on a zone two, you will probably need a separate amplifier or receiver for that. Most HT receivers that I have seen support 7.1 or a zone two. That last two channel amplifier inside the unit can either be set to power the surround-back speakers, OR zone 2. That's not to say that there aren't any out there that can do both, I honestly haven't ever looked. 
Also, from what you have posted, you are going to need an amplifier for those sub woofers. The info you have provided implies that they are passive, and most HT receivers only have line level outputs for a sub. 
If your budget for both a projector AND a receiver is $1200 after tax, I think you will find yourself very unhappy with the results. More so with the projector than the receiver. You may want to look into a midrange rear-projection TV. The viewing angles aren't all that great, but you get an awesome size to dollar ratio, and they get quite large. I would be happy to be proven wrong on this, it's just been my experience.