Hugs to you Shell. A sprain neck and shoulder can be painful, you may want to consider physical thearpy if there is no improvement in a couple of weeks.
A great way to ice yourself is to do a deep ice massage two to three times a day. Take an ice cube and put it directly on the the affected area and move it around in circles pushing hard until the ice cube melts. Afterwards message Biofreeze to the area. You should beable to buy biofreeze at the drug store.
Hang in there - I went through the same injury 7 years ago from a car accident. Muscle injuries can take awhile to heal.