The calender new year is just that. A pagans new year depends on the type. Some have the new year at Samhain, other at Yule. I personally believe that the year is over at Samhain and it begins again at Yule. The time in between is referred to as the dead time. This is a time that represents the time spent spirit world. One should meditate and work through the past year or years to figure out what worked and should be kept in ones life and what didn't work so it can be removed or a different approach can be explored.
If you want to do something for the calender new year I suggest taking a cleansing bath and doing a protection and good luck ritual for the coming year.