@Ace:
Yes, jeep rentals are available in Jalkhad as well because they are aware that there are many people who would drive upto that place in their cars and would want to visit Lulusar Lake as well. Your car would be parked in the open there though. Its a peaceful place, but if you want complete peace of mind then maybe you might want to have your car parked in your hotel parking lot and hire a jeep from Naran.
I was unfortunate that the bridge at Lulusar Lake was broke and I coudn't drive upto Babusar top. If you hire a jeep up to Lulusar, I think you should take a ride upto Babusar top as well, I've seen some pictures, there are some beautiful sceneries up there.