First of all, many congratulations on the new car, Allah naseeb karay 
Coming to your questions:
TPL is a very good insurance company but their premium is a bit high, I got my car insured for around Rs. 74,000 at the time of delivery and now the insurance is about to expire on 30 Sept 2015, received a call from them that because there haven't been any insurance claims, this year we will have to pay lesser premium, around Rs. 70,000, the difference is not that much. Now I'm not sure whether to insure the car or not.
As for the tracker, I wasn't at home when it was being installed, but they did quite a neat job and I haven't experienced any problems with the dashboard so far Alhamdulillah 
Coming towards the battery thing, my car remains parked for the whole week most of the time, goes out on weekends, and once it even remained parked for a month as I had gone to Karachi, however, it was started twice a week at least. I haven't made any sort of claims as the need didn't arise Alhamdulillah 
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