$699K home needs to sell in a month... would you stage it?

I have been contacted by a homeowner who has a $699K vacant property for sale here in Charleston.  The hitch is that it needs to sell in 4 weeks or they will lose the contract on their new home.  My personal average is 4-6 weeks (I've had homes in this price range sell in 1hr, and others that took 4 mos).  Below are photos from the home... their order is kitchen, breakfast nook, living room, dining room & master bedroom. 

Can I make these rooms dramatically different (ie better)... ABSOLUTELY!  I have proposed a 6 wk contract for only $1500.  I have most of the furniture on hand already.  Since it's a short contract, my furniture won't be tied up.  I have told the homeowner that the odds of selling the home staged are better than unstaged. 

My questions is, would you recommend the staging if you only have 4 weeks to produce?