It is definitely correct grammatically as well as in spelling. Perfect. But perhaps it might sound slightly strange to some people when used in some contexts. Most Japanese people love to spend this most relaxed time in the year during several days around the new year's day and there are very few people who do not celebrate it! 「私の家族は元日を祝うことが大好きです」People in my family love to celebrate the new year's day. 「私は家族で元日を祝うことが大好きです」I love to celebrate the new year's day with my family.

正しいです。Yes, this sentence is correct.