Uh... first of all, 5 km = 3.1 miles. 
Next, if you are running almost 2 miles in 11 minutes (which is a pretty decent pace), I had a hard time believing that you can't run 5 km without stopping.
I would not let a "2 week boot camp" scare you. Just work on your running. I don't know of many academies that test your run in boots. You may get run in boots, but most fit tests have you in fit gear.
I would worry less about a specific distance than times. Start getting out and running 20 minutes, minimum. Pepper in 30 minutes runs every couple days. Don't look at the distance, rather run out at a pace you can hold and turn around at either 10 or 15 minutes and go back to where you started. You may want to throw in some interval days (i.e., sprint 2-3 telephone poles, jog 1 or sprint the straight-aways on a track and jog the corners).
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