Your ISP will cut your account when you saturate the upstream pipe 24/7 for weeks on end... which will only happen if you host video.
And your home insurance will not know/care if you're operating a desktop-sized computer or even a single server (it is perfectly fine and expected a developer might bring an actual server home for troubleshooting). Home insurance only cares if you're running dozens of them.
It depends. If you're running a business from home is where my local insurance draws the line and you need additional professional insurance.
You should be able to do this hassle free, and you probably can get away with it, but you may find yourself in a grey area later.
It's just one of many types of red tape that stiffles innovation.