It can mean eroded, worn out, or crumbling.
(Basically it's saying that the barn is falling apart because it's so old and destroyed from weather.)
Well, nothing is capitalized.
The word <em>we </em>is the subject. The phrase <em>solemn vigil </em>is the direct object. The phrase <em>at the funeral </em>is adverbial modifier.
A. The speaker is saying that she and her peers should be allowed to handle the punishments for people like Hester Prynne. She thinks this because they would band together as a group and be all on the same page in their punishment, rather than leaving it up to the magistrate--whose punishment she does not think adequately fit the crime Hester committed.
Yes ma'am you are correct with the answer you chose