Not sure what you mean by shoot without lens..where is that setting?Agreed - if its new and has faults return it (I'm assuming other lenses are fine on the same body).
Otherwise the other options -
* Find a local (shop or friend) with another body and see if the same thing happens
* Set 'shoot without lens' option on the body to see what happens - does it work with manual focus-by-wire?
Buried in the menus on Panasonic lenses is a menu item to allow the use of adapted lenses (non-native) - otherwise the camera won't take a picture unless there is contact with the lens. Normally only set this if you shoot some other type of lens with a lens adapter (eg if you use a Pentax lens). However, if you have a Panasonic body you can at least see if the optical path to the 60mm lens is fine. The Oly bodies don't use this setting and work with whatever you put on it (from memory - once you set it you tend to forget it).Not sure what you mean by shoot without lens..where is that setting?