You can take your car till Sharda very easy but after that road is comparatively not so good but still you can take your car.
You can find hotels in all three places but dont expect so much good or luxury hotel. Keep in mind actually this should be the beauty of your trip to spend some time in little uncomfortable situation.
3.No problem for kids, weather will be just normal in day time but will little cold in the evening.
To get out of your home/city is difficult, rest all the things will be okey for you, dont worry Inshallh.
Still have any question please let me know via my whatsaap 00923008565009
Regards
Hassan