Alright, slow down some. We need to go through the basics. I know it can be a bit obnoxious for us Americans, but do you mind switching things over to feet and inches? I wish I could think in metric, but I just can't and end up having to Google all the measurements to get them back over to the imperial system.
Gladly
Please answer all of these questions the best you can, all of them matter a fair bit in the determination of a solid entry level projector for you to get.
Why do you say 'wi-fi' is important?
I forgot that I don't use my PS4 for netflix anymore since it is offered VIA cable package so I guess it isn't that important.
What is your room size you intend to use the projector in?
about 35 feet X 14 feet HOWEVER, viewing distance is at 13 feet and the projector would be mounted at
How far away from the screen wall do you intend to sit?
14 feet The projector would ideally be mounted 10.5 feet away from the screen. The manual says a minimum of 9.96 feet. The manual says average projector from screen is 11.4 feet.
What is your ceiling height?
7.5 feet
What is your ability to run wiring for the projector?
Drop ceiling so I can run wire anywhere.
What screen size are you hoping to achieve in this room?
120 inches
What color are your walls?
Black
What color is your ceiling?
Black
What color if your floor?
Dark carpet
What material is your floor?
see above
Can you paint the room? Do you intend to?
No need!
You mention that you have 'light control' in the room, but does that just mean you have no windows, or what does that really mean? Theaters have 'full light control' most of the rest of us really don't.
No windows
The BenQ 2150ST is a short throw projector. It has any number of throw distances and some zoom depending on screen size and your needs, but it is SHORT THROW so should only be used in rooms where short throw is required. I'm guessing you meant 1.5m not 15m.
The BenQ site says it will work with a minimum distance of 1.5M but the best buy site says up to 15m. the best buy site could be wrong. I didn't realize that it was a short throw. The 3050 also works as a short throw projector with as little distance as 2.5M.... I don't need the short throw capability. Does this compromise performance?
The 2150 is similar to the HT2050A in design and quality but the HT2050A is the better of the two models to be considering.
From there, you get to the DLP Faux-k models like the 2550. The 4K models are nice as they add some new specifications and really it seems like we are at an absolute end to the development of 1080p projectors on the market from major manufacturers as they have all moved into the 4K DLP chipset. So, what is out there in 1080p land will be it.
Contrast matters a great deal, but doesn't vary tremendously between cheaper DLP models. Though they tend to perform better than the LCD models at the same price point, they aren't amazing, they are just 'solid'. The realistic contrast, in a near perfect room, is about 1,400:1. Ignore claims that exceed 2,000:1 on all the cheap projectors. They just can't come close. Oh, and the DLP 4K models do WORSE than the 1080p models typically are capable of delivering.
A note about wi-fi... Projectors are NOT a wireless product. HDMI is not a wireless way to deliver video. Projectors have crappy built-in speakers, or no speakers at all, and they are not 'smart' devices. If you want to stream video files from Netflix (or similar) get a streaming device like a Roku or Amazon stick and plug it in. It's better to use better speakers than what the projector has, and most people just get a surround sound audio system to run things. It's better to spend $500 on audio, then spend it on a so-so upgrade to the projector. It's also useless to try to run videos or anything over wi-fi. Uncompressed HDMI starts at about 3Gbs. A fast wired network is 1Gbs. A fast wireless network isn't that fast. So, you aren't running videos over wi-fi with any quality. You will need power & HDMI run to the projector for it to perform well. Leave the 'smart' wi-fi streaming devices to manufacturers that specialize in such components. AppleTV, Amazon Fire, Roku.
I'm on it
There are many considerations overall, and it sounds like you may need some basics to go through before you pull the trigger on anything.
I'm happy to fill in more details, but please do answer the questions above. After the answers, give your thoughts and goals and help paint a picture of what you want to do. Budget is a part of that, but your budget impacts the goal and the goal impacts the budget. If budget is firm, then the goal may have to shift around a bit.