Salt will not help with the ammonia but it will help when you get nitrites. Your filter will cycle more slowly in colder temperatures.
I would watch your ammonia to make sure that it does not go above 0.10. You can control your ammonia level by adding ClorAm-X. Add it slowly because you do not want to make the ammonia go away as your filter needs some to cycle. I would also add some nitifying bacteria as well.
Maybe you should wait to add all of them until you see that your new filter is kicking in.