Everyone here has talked about the strength/lifting issue, I'd like to share some advice regarding the running part..there are 2 ways in which you can accomplish your goal imo:
1) This is the one that worked for me. A year and a half ago I couldn't run more than 5 min straight, now I can run for 1 hour straight (although I don't normally do that..). What worked for me was running 3 times a week, and every couple of weeks increase the time by another 5 min. Keep adding time until you reach 2km..I find it also helps to walk in a fast pace for 5 min before actually starting to run, raise your heart rate a little.
2) I'll say this first, I haven't tried this method, I heard about it from a gym trainer where I go..it's based on intervals, and is aimed at distance. Say you want to run 2 km. So you run 500m, and then walk in a fast pace for 2 min, then run another 500, and walk for 2 min..you get the picture. As time passes, you reduce the time of your rest (walking) intervals, up until the point where you "connect" all your running intervals continuously. It really sound like a method that could work, but again, to be honest, I haven't tried it myself.
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