Chargebacks vis a vis refunds

[Become]

Hi all,

Question - we recently had a user on our app who lost a chargeback. However, no refund transaction was generated as a result. We're left wondering:

1. Are chargebacks supposed to generate refund transactions for the order which was disputed?

2. Once a dispute's status is "lost", is definitively lost or is there still an option for the status to revert to under_review?

3. Is the chargeback fee included in the amount under the Dispute object? If not, is there anywhere else to pull it from?

Any assistance would be greatly appreciated! Thanks.