honestly bro this is a career and anyone interested in LE should take it alot more serious then giving themselves 4 weeks to get in shape. why not drop out this time and get in great shape and go through say a year from now.
my bet is even if you drop the weight ,police college/acadamey if your a yank) will eat you alive because there is no way your in good cardio health at that weight/bf%
good luck with the job though if you do make the cut,Im going in LE very soon myself