7" projector question

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I am thinking about building a projector from a 7" XGA car monitor.
I have some questions.

1. Will the projector be alright at a distance of 135" or less. Just I can't go any further away from the wall because my room is quite small.

2. What size scren would I get at 135" and would different lenses make the image bigger/smaller at different distances away from the wall?

3. Just want to make sure that it will work in such a small room. The screen size I would like is about 70" 16:9 diagonal. Which I think is about 56" across and 42" down. Not sure if the calculations are right.

thanks for reading.
 
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