Charge won't last
 

I'm having an issue with my alarm, central locking or charging system. As long as I drive my car almost daily I have no issues with it starting. If I let the car sit for just a little over a week, it won't start after that. Sometimes when I lock the car from the key fob, I get the double beep that says something open even though everything is secure. The central lock light comes on randomly and stays on for a while then goes out also. Any ideas? Battery is only 6 months old. Could it be ignition switch?