Whats goin on man, all the way from Compton huh?
Im new to the indoor side of things myself , but i will tell you what i think ,and the veterans will fillin shortly
I Think you need to consider foil tape(at lowes) instead of white paper, (if your trying to protect the paint or color of the wall, maybe stick the paper on the wall then foil tape the paper)
I Dont think it will send out the reflection needed, but i dont know for sure,
3 bulbs - It might work but it might grow slow, always keep in mind - The more light the better ( just have to make a exhaust point for all the heat from all the bulbs)
as far as the shoebox, im not sure but it could be a safety hazard? The lights get pretty hot,
go to the DIY section here , and look at the "Rubbermaid Grow Box" , take the 3-SOCKET light fixture from lowes and installit somewhere, --i just wouldnt feel safe having all the heat directly on a piece of dry cardboard.
Yea you might wanna lstd or scrog to keep it in check,
This is just my thoughts bro' i may be correct/incorrect on some things, , we'll wait to see what the others say...
GoodLuck