tractor registration question

My dad is about to retire in a few months and will give me his tractor. He has an MC number and a CA number since we live in California. Truck is paid off and he has the pink.

My first idiot question is do I have to be on the registration for insurance. I plan to lease on with my buddy who has been an owner operator for a few years and has two guys leased on with him now. My second choice is to lease on to an Intermodal company to start off.

So if I do need to be registered (which I'm assuming) can I just go to the dmv with my dad and add my name to it?

Can I use my dad's MC/CA number or would I need my own. I plan to incorporate and run it as my business including new name etc eventually.

Background on me, been driving for 3 yrs, worked as a dispatcher/planner and I have contacts with brokers in intermodal for both rail and port from when I worked in the office. Just trying to do much research as possible. Thanks in advance

 

Thanks for the quick reply turboguy, I don't plan to get my own mc number and incorporate right away, well if possible. I was thinking a few months to a year after I started rolling

 

Well I don't have my own authority, unless I can do it under my dad's name. He was leasing on to a company out of the port so he's not real savvy to pick his brain about that. I figured the safest bet would be to go with my friend and be under his wing and learn the most I can and still have a psuedo safety net