SAT writing questions please help?

I disagree with tenebrous on 3 and 5: Hopefully is wrong. Hopefully describes "it." This is one of most common mistakes. It is like saying, "Thankfully, the murderer was caught." Obviously the murderer was not thankful. 5 has no mistake. "to exercise" is the entire verb phrase. Hamlet wouldn't have said, "to be, or to not be."