As for the construction date, I see you registration as Rossmoor. Almost all of Rossmoor was built in 60's when asbestos was commonly used in popcorn ceilings.
You can call an expert to take a small sample of the ceiling to a lab locally. They will test it to see if it contains asbestos. You can call Cal/OSHA at (916) 574-2993 to get more information or go to http://www.dir.ca.gov. Was your home built before or during the 1970"s? If so, it is suspect.
Good luck to you,
I am happy to provide a list of local Asbestos Abatement Contractors if you would like to contact me.
Linda Van Drent