If a victim makes a statement under the influence of narcotics and then remembers it differently later is it Admissible?

Victim of what? If it is in litigation a motion to suppress may be appropriate. If it is car accident, hire a personal injury lawyer.

Am i liable to pay the damages on a car that i hit with a borrowed car, when i have liability insurance on my own car?

You were excluded as a family member living in the same house, most likely. Sounds like you are going to be paying out of your pocket.

My son has a broken vertebrae from a car accident, can I get medical coverage from Underinsured Auto on my own policy?.

Talk to your insurance adjuster if there is any coverage under the policy.

You can receive 60% of your damages. You left out pain and suffering, futures, impairment ratings and loss of use. Talk to local counsel.

Can I be at fault when I was rear ended?

Sounds like the other driver is at fault. Submit a claim to his insurance for your damages.

Is there anything I can do?

You can sue her and have the witnesses testify in your favor. Otherwise, submit it thru your insurance.

Can I sue the person who hit my parked car?

Yes you can sue her. Other option is to submit it thru your insurance.

Am I liable for damages if my car slipped on black ice on company property that wasn't treated with saltand hit another vehicle?

See if your company is willing to take care of it with their insurance. Otherwise, report it to your carrier.

What can I do to speed up process?

Unrepresented claimants are not taken seriously. Use AVVO Find A Lawyer for counsel in your area.

I don’t know what to do?

Report the suit to your insurance. They will provide legal representation. You must act timely. Do not delay.