Flutterby™! : Order of connections

I do my work on a laptop that, at work, I plug into a monitor and use a Bluetooth keyboard and mouse. The keyboard came from my boss. A while after he brought in that mouse he brought in another computer from home, which has seen occasional use and testing by another coworker who's only here occasionally.

This morning that coworker got in before me. So I came in, plugged in my laptop, and the Bluetooth keyboard wasn't working. I've got some browser tabs I want to close, and I'm mashing Cmd-W, and nothing's happening. It's got the lights on, I'm poking around in the Bluetooth control panel, and can't connect to it...

...and from behind me I hear "well, this is bizarre, do I have a virus? Tabs and windows are randomly closing."

Be careful what you type where...