OK - Thanks Bill.There are obviously a few concerns with your supply; even if we negate the upstairs issue!
In the first instance, if you want to find out if there is a supply running to upstairs:
Main switch OFF.
Go upstairs, and ask them to switch the heating etc ON, and see if it works. If the switches have neons, that would be an easy way to tell!
The only other concern I had previously, was that there was a drain from your supply BEFORE the fusebox. From the piccies, this doesn`t appear to be the case.
I would suggest, if it IS coming through you, it will be on one of the red fuses, shown to the left of your board. They are likely to be running your cooker / sockets.
I would also be tempted to draft a letter to the landlord/lady. Lie a little bit, and state that you`ve had an electrician out. From those pics, virtually everyone on here would give you a report containing quite a few code 1`s; without seeing any more than we already have. Pressure them into having it put right, as it poses a danger to your life/lives.