Answer:
1. F
2. S
3. F 
4. F
5. S
Step-by-step explanation:
Complete sentences have a subject and verb. A subject tends to be a noun or pronoun. A couple examples of a noun or pronoun: "dog" or "Billy." Always look for these two characteristics when analyzing these problems. If one is missing, it is a fragment. I will answer the first few with some explanation. 
1) 
"Lay" is the subject of the sentence. There is no verb. Therefore this is not a complete sentence, but instead a sentence fragment. 
2. 
"Tree" is the subject while the verb and helping verb is "was struck." Since this problem meets both requirements, this is a complete sentence. 
3.
"Sound" is the subject, but there is no verb. 
4. 
"I" is the subject and "fell" can be considered a verb, but this is actually not a complete sentence. This is because the sentence starts with "just as" which begins a clause. This one is a bit trickier to explain, but I hope my explanation makes a little sense.
5. 
"Jud" is the subject and "crawled" is the verb. 
I hope these examples/explanations help!