You need to be understanding of pump driven espresso machines and I understand if this is your first, then you have nothing to compare to and with respect, no expertise yet to draw upon!
Vibrating pumps do vibrate, and they do make a noise...it can differ from machine to machine and some are louder than others...
However, when a machine has NO water coming through it the vibrating noise will be a lot worse and very metallic.
I havent been able to ascertain from your post whether the machine is now pumping normally but loudly, or whether it is struggling to get water.....you see when you first mentioned you turned the machine on but no water was coming out and the vibrating noise was loud, this is "normal" (for a dry pump on a new machine before the water comes through), but it should have quieted down considerably as soon as water started to come through.
If you continue to run a vibrating pump ad infinitum while it is "dry", the pump can or may become damaged, it can seize, and will become very hot. In these circumstances it then will not suck / pump water and to keep trying to get it to pick the water just makes it hotter and less likely to pick up the water.
The best course of action under these circumstances is to stop, turn the machine off, give it a good 1/2 hour or more for the pump to cool, then turn it back on and try again. It will be much more likely them, to pick up water and function as it should....as long as it has not been damaged.
I understand your frustration as a new machine owner, but there is little point doing anything over the telephone where people are just "guessing" as to what is going on. If the machine is now operating normally but you think it is loud, ultimately you will need to run the machine in front of someone in the know about domestic coffee machines in general, or in front of a Sunbeam coffee machine service tech, and see what they say, which means you have to put it in the car and take it somewhere. This is standard practice for any electrical appliance or domestic espresso coffee machine with "carry in" warranty.
The difficulty for you, is that this brand is sold through the department store sector but there is no point taking it back there because the shop assistants would likely not have much of a clue. You will probably have to seek out the location of the nearest service point. Equipment purchased on the other hand from specialty coffee machine stores, can usually be taken back there for some friendly advice.
Hope this helps,