That is probably a small dust particle on the tiny LC1 sensor, hopefully a loose one. You won't see it at all at wide apertures, it starts to appear at f4 and gets sharpest at f11. It happened to me once, but disappeared forever after few weeks of use. If it doesn't fall off spontaneously from the sensor, you can't clean it yourself.
For the beginning, don't store you camera with the lens up.
Otherwise, the camera seems to be OK. Your first shots of Dana were blurry because you were too close + the speed was to slow, as Dave said.
Get used to hold your camera firmly at your forehead, and with your left hand under the lens, elbows close to the body.
Always use AF-Macro position on the lens for close-up portraits.
Shoot at f2 and at ISO 100 whenever you can (as I do) - the lens is perfectly sharp at wide apertures, and on AF-Macro you might even get some nice bokeh. And Jesse is right: keep shooting and enjoy your new LC1! 🙂