Well, 6 weeks should be more then enough time to be able to pass those requirements. As long as your not totally out of shape. PTI when I was in THE STATE academy was a joke. We made fun of it the whole time. Not sure how it is now but one of our recruits is there now and says its like going to high school. First week is tougher just to weed out the people who dont want to be there but after that its easy. Your hardest part for the physical is probably going to be the running. Start out by walk/running a mile and then each week bump it up a half mile until your walk running around 3. Then just start running for distance/time.
You can bet that I stand ready, when the Wolf growls at your door.