I suggest you to take Pajero 4*4 so you can comfortably reach all the places in Neelam valley. As we took 2 Pajero with driver and they were very professionals and they were driving the cars from last 30 years on that route.
Your plan would be:
Muzaffarabad to Sharda
Sharda to Arrang Kel. Stay at Arrange Kel for at least 2 nights.
Arrange Kel to Taobat. Stay atleast 2 nights.
Taobat to Keran or Upper Neelam (stay at Green Village). You need to leave early, otherwise you can stay at Sharda.
Keran to Muzaffarabad.