Yes, it's spooky.
However, it will be something just natural unfortunately.
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After careful analysis with the most sohisticated equipment available to man today - no not his computer, but his eyes - I finally figured out this Chinese Puzzle I think.
Happens at At 0.20, 1.13, and 2.14
This is most likely the nightwatchman, with maybe his torch or dog or both, reflected in the window in front of the camera, overlayed fortunately over the steps. This explains why it repeats; he is on his rounds.
In reply to some comments there:
"Mouse curser" early on is a moth. Bright light at front.
The time in the clock is not being repeated. Only the seconds when they reach 59, in normal sequence. In the last reflection, time is slowed a bit, to give a better look it seems.
I think you can make out the person walking image, just, after that weird trail which I at first thought may be two men carrying a long thing - carpet or curtain.