In our country, buying a Stylus 1 for $80 would be considered grand larceny, punishable by a long prison term. :-D
You just made one of the best purchases you will ever make. The Stylus 1 is an absolute classic, unmatched in its class even today.
As it happens, I just received a Stylus 1s today that was being sold "for parts" on the auction site. Seller listed it at $85/OBO. I offered $75, seller came back with $78 and I bought it. $83 with tax, free shipping.
The problem was a stuck lens. The listing showed two after-market batteries. I suspected it may have been an issue with the batteries, but I figured there were a couple of other things to try if it wasn't.
Upon receipt, I looked it over closely. The camera is pristine. There is a small blemish on the lens cover. No other indications of wear anywhere, so sign of impact damage.
I popped a recent vintage OEM battery in and crossed my fingers. I could hear a brief effort to move the lens, and the LCD backlight illuminated what remained a black screen. Didn't respond to Menu. Attempting to zoom gave a similar brief sound.
Turned it off and held it to my ear and shook it. Nothing rattling around inside.
Turned it over and held it in my left hand while giving the bottom of the camera a sharp rap with the knuckles of my right.
Pressed the power button and there was a little stutter-step as the lens first retracted, then extended. The LCD came on and the camera was working.
Afterwards I did a reset and configured the camera the way I like it. Power cycled it several times in various orientations, using the full range of the zoom, worked perfectly each time.
Invoked the magic incantation for the service menus and found it had less than one thousand shutter activations. (Not so important for these leaf shutters, but indicative of the amount of use the camera saw. It wasn't "unused," but very light use for nearly decade old camera.)
This unit exhibited the same squeak near the thumb rest my other Stylus 1s had. That issue is due to the screw on the side by the thumb rest slowly backing out. A quarter-turn with a small Phillips head and it's solid.
I suspect it may have been a tiny bit of grit or sand jamming the drive mechanism, and a sharp jolt was enough to dislodge it. I wouldn't take these cameras to the beach on a windy day!
Got lucky with this one, but I'm very pleased.