OK - my take on how I would go about this is as below :
I'd put the screen in front of the window with some blackout blinds behind. The screen itself has a light-proof back but installing without additional light control measures would introduce light spill around the edges of the screen when used in the day.
With a 109in screen (2.4m) and your chosen PJ it is not possible to fully utilise the screen of you were to project across the shorter room dimension as to get to a 2.4m diagonal projected image you need a PJ to screen distance of >3100mm and hence it won't fit.
To achieve the THX recommended maximum 40 degree viewing angle with a 2.4m screen (2.1m wide) you need a minimum viewing distance of 2.9m and this distance is replicated in the diagram above.
The screen is not accoustically transparent so you would need to place the speakers to the side of and below the screen to avoid attenuation - Fortunately this places the Front L&R speakers pretty well spot on the THX recommendations.