I would also agree with Burt and DD. If 2 miles is still a stretch for 6 weeks out from your start date aerobic conditioning needs to be your focus. A stripped down 2x/wk 5/3/1 should allow you to maintain strength and stay fresh for runs. Calisthenics can be done daily, broken up through the day. I personally have done really well in the past incorporating "fartlek" style run training 2x/wk, sprint/speed work 1x/wk and a longer, easy pace run 1x/wk, but everyone's different. Some people swear by higher volume steady state training and have done very well with that. As suggested above find a program that sounds reasonable to you and follow it.
I also would suggest you take some time over the next 6 weeks to work on your running form. Running, like lifting, is a skill. I found that my enjoyment and my performance during running both increased almost immediately with improvements to my technique. I found "Chi Running" principles to be really helpful, but "Pose" running looks good too. Not only will good technique help you run faster and easier it will reduce your risk of injury. Get into foam rolling, LAX ball self massage and mobility exercises as well. You'll thank me later.
Below is a bare bones, steady state running program written by Stew Smith http://www.military.com/military-fitness/. I would consider doing 1-2 of these runs per week as a fartlek (Google it) to build in some speed. It's not the "magic bullet" of run programs or anything, but if you're overwhelmed by all the choices out there, just do this and you'll get fitter and faster in your remaining time. During the third week where he calls for no running, I suggest you row on a C2, if you have access to one, or cycle for a similar or slightly longer duration as your 2 mi runs 3x/wk. TBH, if you feel good you could probably just do a third week running 2 mi 3x/wk, but that's not how it was written.
- Weeks #1, 2: 2 miles/day, 8:30 pace, M/W/F (6 miles/week)
- Week #3: No running. High risk of stress fractures.
- Week #4: 3 miles/day, M/W/F (9 miles/week)
- Weeks #5, 6: 2/3/4/2 miles, M/Tu/Th/F (11 miles/week)
- Weeks #7, 8: 3/4/5/2 miles, M/Tu/Th/F (16 miles/week)
- Week #9: Same as #7, 8 (16 miles/week)
Just my $.02. All the best.