Wouldn't you still have to pay sales tax on it in California? When I moved here I had to pay retroactive sales tax on a vehicle leased 2 years earlier in a different state.
Only if you're a California resident. If I reside in Oregon, purchase a car, and change my residence to California, it's an $18 non-resident fee plus the $100 registration. No sales tax paid.
Only if purchased > 1 year from registration (or first use in California). If purchased within the last year you pay the tax difference between the states. You can work it out in the online calculator.