The correct sentences that use an adverbial clause are:
- Javy was named captain of the team despite it being his first year on the team.
- So that we would have enough left for tomorrow, we only used half of the vegetables in the salad.
(Note: The first option listed twice seems to be a duplication, so it has been omitted for clarity.)
The adverbial clause in the second sentence is "So that we would have enough left for tomorrow," which provides a reason. The first sentence does not contain an adverbial clause.