Okay, so Osur informed the I have not finished your demo at all. After the Peter-fight with the clock the devbug triggered and told me that the demo was over, I do not know why, but you might want to investigate it.
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I got mixed up with the other Jam, sorry for the late reply.
The demo end scene is not a bug, the first 5 levels will be in the demo for the next Steam Next Fest. However, if you click on Haydn a bunch of time a window will pop up asking for a password that I have posted in the thread. This enables you to play the entire game so far or 15 levels in total. If you beat the final one there's a different message at the end.
Also, shields definitely count as weaponry, especially infantry ones with a metallic outer rim for bashing people in the legs.