California LLC formed in 2002 - no business activity or expense - do we still owe the tax?
I do not believe you would be personally liable for the annual $800 franchise tax. As the business would be liable for the tax, typically when a company fails to comply with timely payment, the company is suspended within the first 2 years. After 10 years, there is a possibility the company has been dissolved by the state.
I am not 100% certain whether or not it would restrict you from opening a new company in the state, but my best guess is - it wouldn't. My suggestion would be to check with a business attorney licensed in the state of California.