Every complete sentence has both a subject and verb and expresses a complete thought. "Carlos" would be the subject of the sentence. The sentence says that he "arrived" home which would be the verb. There is also a complete thought being expressed, so with all three components present, we can say that this is a sentence!
Lincoln "emerged from the Kentucky woods determined to become a statesman." Having to start from the beginning and building up from there is very difficult and makes Lincoln and Reeves similar in this way. Both very successful men, they showed others to work towards their dreams.