If you don’t have enough trouble to rule out the trip, your car should be fine. Highway mileage is not as hard on a car as stop and go. You might want to change the coolant, transmission fluid and brake fluid before you leave. How long ago were the 3 changed? If it has been a few years for coolant and about 30,000 for brake and transmission fluid, it’s time. You first have to check to see if your car is 50-states legal. There is a label under your hood that should clearly say that it is or is not legal in Cali. Here’s some info:
http://dmv.ca.gov/pubs/brochures/fast_facts/ffvr29.htm
Now, it also says on this page that you can bring in a new 49-states legal car if it was registered in your hole state. You might want to call the numbers at the bottom of the page for clarification. Here’s the info about registering a non-resident vehicle: