Run after the workout, it will keep your body burning calories longer but don't overdo it either, otherwise you would end up wasting up your muscle mass (which you need to burn calories).
Lifting weights is anaerobic in nature. You should try to keep your lifting as short and as intense as possible. Working out larger muscle groups like your legs and back with high intensity and on different days will allow you to build mass quicker, which in turn will help in burning calories, mix in some of the smaller bodyparts in one of those days or dedicate a day for the smaller bodyparts only.
And also keep in mind that high intensity does not always equal heavy weights, it's all about the mind muscle connection. Always remember to stretch as well.
Best of luck in attaining your goals, your NSX will be much faster after you lose some weight, it's a cheap mod!