California respects the license status of other states and so long as they recognize, through the interstate compact, that you've been suspended CA won't issue you a license. You need to resolve your Virginia issues first. Get in touch with a lawyer there and see if a restriction is available as it is with DUI one-year suspensions.
My colleague is correct. You need to clear up your suspended license issues in VA before CA will issue you a license. I suggest you post this on Avvo VA site to get advice from VA attorneys.