Answer:
1. Drinking coffee and soft drinks is common. Caffeine is a drug, too much sugar is bad for you. 
2. Although Barbara moved here only a year ago, she has settled in quickly. 
3. We have to fix the window screens, summer is nearly here. 
4. For as long as I can remember, we've never had a case of theft. 
5. Fares was the best tennis player on the team, even though he hurt his knee. 
6. Skateboading down Broadway is dangerous. 
7. Tom snapped a photograph of Mount Rushmore. Tanya stared off into space.
8. If she is nominated, she would do good. 
9. The raise was more than I expected I am not complaining, my schedule is difficult. 
10. When the semester ends.
Step-by-step explanation:
A Sentence fragment is a type of sentence which does not have a main verb or a subject, or both. 
A run-on sentence on the other hand, contain at least two independent clauses which are linked in a sentence without proper use of punctuations.
Therefore, the following sentences are classified into run-on or sentence fragments:
Drinking coffee and soft drinks is common, caffeine is a drug, too much sugar is bad for you. 
RUN-ON SENTENCE
Although Barbara moved here only a year ago 
SENTENCE FRAGMENTS
We have to fix the window screens summer is nearly here. 
RUN-ON SENTENCE
For as long as I can remember. 
SENTENCE FRAGMENTS
Fares was the best tennis player on the team, he hurt his knee. 
RUN-ON SENTENCE 
6. Skateboading down Broadway. 
RUN-ON SENTENCE 
7. Tom snapped a photograph of Mount Rushmore Tanya stared off into space.
RUN-ON SENTENCE 
8. If she is nominated. 
SENTENCE FRAGMENTS
9. The raise was more than I expected I am not complaining, my schedule is difficult. 
RUN-ON SENTENCE 
10. When the semester ends.
EXPLANATION