ICBC or Private?

I scratched and dented my car when turning on a parking lot in Burnaby. Looking for a small body shop in Surrey.

I got a quote from a small body shop in Burnaby. He quoted me $1800 but as cash. Craftsman Collision at Grandview quoted me around 4k.

https://i.imgur.com/sfEf2Md.jpg

I have a few concerns:

1. Should I go private or ICBC? 2. How much increase will I see on my premiums? 3. Can this be counted as deductible? I just got my windshield replaced as deductible ($500) last month (Unfortunate chain of events for me)