Many people are getting hit with cancellation notices because their existing health care policies don't quality under the new health care law. Large employer plans that cover most workers and their families are unlikely to be affected. One of the president's earliest promises about the health care overhaul was – You can keep your plan if you like it. That's not exactly the case for Natasha Lee. Lee is a freelance photographer who just received a letter saying her current policy is being canceled. A new similar policy she says will cost her three times more.