No
This is a complex sentence. The sentence has two parts, a dependence clause and an independent clause. The dependent clause is "Especially after a rainstorm" and the independent clause is "Santa's Little Helper likes to sit in his porch swing and think." If this sentence was only made up of a dependent clause, then it would be a fragment.
Farce is the answer I got.
The sentence written correctly is: Some of the race contestants are wearing amusing and creative costumes.