Great going OP!!! I think that that's off to a terrific start...I used to have a friend who's similar to your case, and after half a year's worth of intensive workouts in the gym, he is super fit right now...so I think it's just a case of (know it's clichéd, but) perserverance...if you keep up that exercise volume (you don't necessarily need to increase it - you're right, if you do too much, you can strain yourself), but maybe consider increasing the frequency to about 5 sessions a week (45 minutes / session - obviously you can start out simpler, but that's where you want to aim at), not sure if you're used to light jogging for a longer period of time? Within half a year, you should see some major improvements.
And at the end of the day, you're in total control over your fitness regime, so you don't have anything to worry about. Don't like jogging? Change sports! Feeling bored? Exercise with a friend! Loads of options to mish mash and consider
Good luck and congrats on your success....glad you found a method working for ya!