Non-Fault Credit Service Inquiry: Clarification Needed Before Repair

According to the claim this time, I used the non-fault credit service. However, I am actually a first-time user and therefore not very familiar with the details.

On the morning after the accident, I filled out the claim information on your company's website and immediately received a call from Auxillis to arrange for the repair of my car. However, because we have not yet received confirmation from your company as to which party is responsible for the accident, we are concerned that if we let Auxillis repair the car first and your company ultimately determines that we are at fault, we will have to pay for the repair costs.

Therefore, I would like to clarify the following points:

1. Has the insurance company finally determined that this accident is not our fault?
2. Will Auxillis only be responsible for repairing our car, or will they also be responsible for determining which party is at fault for the accident?
3. If we first use Auxillis' services to repair our car and then fail for any reason, including the other party's appeal, will we need to pay for the related costs?
4. Actually, through the processing of Auxillis, what would be the normal procedure?