With any claim, you will want to report the incident ASAP. When I've had incidents, I've always done it same day. Anyhow, your specific policy will let you know how long you have. and it's usually 30...
Don't understand the part of the question about the "police repo," however, contact the at-fault party's insurance company ASAP - and if you have insurance coverage, contact YOUR insurance company as...
One would think that they would get this done within a couple days at the most, if only to make certain that the claim would be processed. Call the insured's company and ask them about this....
Yes, if only to have your side of the story on record. Do it. At the very least, phone up your insurance company and tell them exactly what happened and get their advice. They will be happy to talk...