Answer:
1. Since it's been four months since your purchase. the broken pedal is no longer under warranty. ⇒ BAD NEWS.
This will fall under the Bad News because it is news that the customer would not want to receive.
2. We know it's inconvenient while your elliptical is not in use, and we'd like to help you get your pedal replaced as quickly as possible.⇒ CONCERN.
Falls under concern because it expresses sympathy at the customer's situation.
6. Best wishes, Jenny Peterson ⇒ CLOSING
This falls under Closing because such salutations are used to end a letter or response.