You are allowed to retire one vehicle per year to the State of California. The vehicle must be registered to you and you must have the vehicle's title in your name. The vehicle must not be in the process of a ownership change or title transfer.
In this specific case, it appears this 1995 Honda Civic is undergoing a title transfer. It is not eligible for the vehicle buy back program. You may however choose to retire it to a private vehicle dismantler.