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.
Past tense
(You can tell it's past tense because it has the word HAD in it. It means it's already been done.)
If it were present tense, it would say "Being coached", and if it were future tense it would say "Will be coaching."
Hope this helps! :)
A is the answer to the question
Answer: elements of fantasy, adventure, and violence,
Explanation: