Hi seshboxhq...
I think someone somewhere will have to start making suggestions, for you to get along. So Iam posting my 5.2.4 atmos setup in a 11.5 x 17 ft room along with the prices I paid. So you can see and decide. My entire setup is mostly Qacoustics. But you have entire sets available from other brands too. All the best.
Avr - marantz sr6011 - paid 1.1L in 2014 or 15
Front L&R - acoustics concept 40 - 1.27L
Center - Qacoustics concept centre- 37 k I think
Surrounds - acoustics q7000 lri - 30 k I think
But I would advise you to add a qacoutics concept 20's as surrounds - should be around 40 to 44k
Inceiling atmos speakers- Yamaha IWC 280 I think. Think I paid around 30 or 34k for all 4 speakers..
Cabling - is supra for front LCR, and some generic dac cable or something for everything else..
My setup is in my.living room, so don't have a projector.
I use a roku uhd to stream Netflix and Amazon fire tv stick to stream Amazon prime. I have a pioneer bdp-450 blueray player that i don't use Any more..
So all the above looks like it adds upto approx 3.7L. So you have a budget of around 1.3L for your chosen projector . All the best
------- 1st edit
Apart from the above I have a external integrated amp for music, which you don't actually require..And I use a Logitech harmony elite home system to control everything. I guess it has the functionality for smart home automation. But being completely dumb at computers, I choose not to try the additional functionality. But it there if you need.
------ 2nd edit
I forgot about the sub woofer. I use a small 8 inch sub called Qacoustics 2070i or something. This is the weak link in my system. But I don't have room for a full fledged sub. So making do with it. The sub is the heart of any HT system. So you should around 70 to 80k minimum for a good single sub to start with. Your room doesn't necessarily need a second sub to start with . But you can always add a 2nd one down the line when budget permits.
So total cost so far = 3.7L for speakers and avr + 70k for sub = 4.4L