The sentence that has faulty parallel structure is option A
The trip started in Colorado, went through New Mexico, and the the end being California.
Faulty parallelism is a construction in which two or more parts of a sentence are equivalent in meaning but not grammatically similar in form. It does not follow the same grammatical pattern according verb tenses. The correct version would be and ended in Carlifornia
Yes they both were territories of the united states.
C. compound-complex sentence