The electronics of a sound system can be specified without detailed knowledge of the acoustics, but if you try that with speakers, you may well end up with something sub-optimal!
Hi, I've recently worked on a project very similar to this.
When we were looking at projector/screen combos, we struggled to find proper projection screens that fit the huge wall space we had behind the stage area. In the end we've opted for a white cyclorama stretched taught against the back wall (with velcro on the edges, so it's removable) which is a staple of theatres anyway, but also provides an ideal projection screen. On the projector side, we went with an EPSON Z series install projector, it puts out 7000 lumens and can do proper 1080p it's also got a mechanical shutter built in, which is handy when we go to blackout during a production, as the glow of the projector can't be seen at all. Bonus: we arranged the speakers and subs in a 7.2 surround configuration and dropped in a surround sound processor, so it doubles as a fantastic screening room for for our Media and Film Studies departments.
As for producing a time-lapse, I devised a system to do this very cheaply by getting a basic D-Link 720p IP camera (which didn't have an FTP option hence the reason for this setup), and writing a shell script/cron job on one of our Linux servers to grab a still frame every few minutes and save it to disk with the date as the filename, then I put the pictures together using a little app called Timelapse Assembler on the Mac, alternatively I think you can put time lapses together fairly easily with FFmpeg too.
On the lighting side, we went mainly with LED fixtures for flexibility with colours etc, although we do have a number traditional profiles and fresnel fixtures on a dimmer system, whichever socket type is used for your dimmers (usually 16a Ceeform now), you'll want to keep a stock of extension leads to be able to move lights around or even down to floor level. Control wise, it's running off a MagicQ MaxiWing connected to a touch screen PC, it's a nice setup because you can do some very complex designs/cues with MagicQ, but program them onto touch buttons or physical faders so virtually anyone can operate it.
As others have suggested already its really key to sort out the basics though, floor boxes, plenty of patch points and electrical sockets around the space prove very useful, as will dimmable house lighting, and sound dampening for neighbouring rooms. Also, one thing that no one thought of initially when we were in the planning stages - smoke detectors, the last thing you want is a fire alarm going off if you try to use smoke/haze machines, we have these "rate of rise" detectors fitted, which detect rapid rises in temperature in the room, rather than smoke.
Hope that helps