Ultimately, the decision to file a claim or not will be up to you and your dad. You can use our State of Insurance report
to give yourself an idea how much an At Fault accident will affect your rates, but there is no way to tell with 100% accuracy until you are charged for the accident by your company. That being said, insurance follows the vehicle so you would need to file the claim with your father's company since he owns and insures the car. Or you could pay for the damage out of your own pocket to avoid a premium increase on your father's policy. It is likely that your father would end up paying more than $1,600 in additional premium over the course of 3 years, but it may not be feasible to come up with that money.