you shoudl thank god you are going to lahore, if you were coming to ISB you woudl have kicked your own @ss for making that decision.
there are loads of things to do there, best advise is to get in touch with aridsoul as he is great and he knows all the right guys to introduce you to depending on your style. My advice is to make sure to meet the LHR pakwheelers as they are all great guys, and i can assure you that you'll love saifi & poppaturbo. if you are more sober, you'll enjoy hanging out with levin & mr hot2000. If you are somwhere in the middle you'll find beeberg and the rest to be just right.
as for shopping i'll suggest you take a trip to alfattah shopping centre(arcade?) and have a go at mini golf in gulberg 3. there are plenty of places to eat in LHR, my favorite places are more or less all on MM Alam road.
for further info please contact aridsoul.