Without even reading most of that.. I can tell you that running for a few months, a couple times a week isnt going to do it.
I use to run 9miles a day, 5 days a week.. I could run the 5k in around 19mins.. running 9miles felt like a stroll in the park.
Just get out there and keep moving. Run 5 days a week and work your way up in milage. Start at 3 miles.. then work up to 4.. and then 5..