If you have the time and patience, you could take a photo of the screen asking you for a password, and attach it to a reply here.
Alternatively, you could carry out a factory reset and start from scratch.
Assuming you have an X7 (as that is the area this post is in), follow the steps mentioned here -
https://droidbox.co.uk/blog/how-to-access-your-droidboxs-recovery-menu/
Once you see the recovery menu, use your remote to select Wipe data/factory reset. Confirm you're certain, then wait for the process to complete. Reboot your device, proceed through any set up screens offered, select which launcher you want to use, then _STOP_. Seriously. Go and make a cup of tea or two. Wait at least 20 minutes (you need to allow time for the applications to be reinstalled, otherwise you'll be left with a bare Android installation, no XBMC or other apps will be present).
Next go through the DroidBOX Wizard -
https://droidbox.co.uk/blog/droidbox-wizard-update-october-2014-2/ and enable auto-updates in Google's Play Store -
https://droidbox.co.uk/blog/googles-play-store-signing-in-and-auto-updates/
At some point, hold your breath, close your eyes and cross your fingers, and reboot. If you get the password prompt again (I've not had this happen to me with any of the devices yet), can you have a think about anything that seemed unusual, or you weren't perhaps 100% sure about in terms of what has been done configuring the device both times?