I'l admit I am not knowledgeable in this area, but I will tell what I know.
If the power is on, you could probably plug as many things into the UPS as is reasonable, at that point all it is doing is smoothing the power coming from the wall. When the power goes out, it will try to power all the stuff connected too it, so if you have too much it will go out pretty quickly. So if your wanting to keep your computer on in a power outage, what you would want to do is only connect the computer and a monitor to the UPS, that way you will have some time to save whatever your doing before it drains.
As for overloading your wall socket, thats going to depend on your house wiring. Nothing exact I can really say here, just that if you dont plug an ungodly amount of things or something of ridiculously high wattage into it chances are you'l be fine. You could get an electrician to check if you really want to know how many Watts it can support.