well if it's cheap the rated 450W probably stretched truth and in actuality its more 250-350W PSU, but even that be naught to run system you posted.
Unless the specific brand has some nasty tendency to fry PC's,
any PSU can work fine and for long time, i have plenty of cheap PSU that came with cases and they worked for over 5 years but top of the line die in 1.
I generally advice any1 not to skimp on good quality PSU, if you can always go for something more reputable with better quality.
BTW UPS protects from bad things coming from outside to PSU, there nothing to protect your components from PSU going bad and frying all your components inside.