Don't mind the tape on the bottom, or the sides, they are just to keep it airtight, and also to make it stick to the wall so its horizontal. I was wrong about 15 days, it was 11.
While studying my undergrad degree we did something similar and while spreading the agar plates with our samples I was feeling rather unwell, thought nothing of it at the time and carried on as usual.
Later that day I became rather unwell, was rushed to hospital and was told I had a meningococcal related illness (potentially mild meningitis, they didn't take spinal samples from myself but did from my colleague whom I passed it onto and confirmed the suspicions). When I went back to the lab a few weeks later and checked the plates they'd developed a rather interesting orange furry mass.... safe to say we disposed of them pretty damn fast!
We'll never know, decided it was best to avoid opening them!
I'd advise not opening agar plates after incubation without a respirator and fume hood because of the unknown nature of what's within. It'll likely be Ecoli or Streptococcal but you'll be terrified of what you can find even on the cleanest of locations (keyboards are the scariest!)
A great one to do is to put some antibios on the plate before you spread them in circles (mark with pen) and then spread dirt etc between the circles and incubate, you'll see as it hits the antibios it will stop and then (hopefully) any antibio resistant strains will survive and will begin to spread throughout the plate.
Very unlikely to be obviously 'moving' but most bacteria divide every 20 minutes or so, if you were able to video through the microscope for an hour or so you would see something but otherwise you won't see much.