Explanation:

- Option 1: Objection

- "Objection" refers to a protest or expression of disapproval. It's commonly used in legal contexts. It doesn't fit the context of the sentence.

- Option 2: Encasement

- "Encasement" means being enclosed or covered. It's not the right fit because the sentence involves an action or task, not something being encased.

- Option 3: Errand

- "Errand" means a short journey undertaken to deliver or collect something, often for someone else. This fits the context perfectly as it describes a task or purpose for going through the street.

- Option 4: Amendment

- "Amendment" signifies a change or modification, often used in legal or formal documents. It doesn't describe the scenario in the sentence.