Sunshine Conversations - Tying to a Support Ticket

Our team is working on a custom conversation app for persistent chats with users using Sunshine Conversations. It's unclear from the documentation how a conversation gets tied to a Zendesk Support Ticket. Can someone help us answer the following questions?

• Does starting a new conversation automatically create a ticket?
• Does resuming a conversation under the same conversation ID keep that information in the same ticket?
• What happens if a user tries to resume the same conversation (using the same conversation ID) but the ticket is Solved or Closed?