I'm in NZ, so our uni is similar to yours. If they're good unis, you'll have biochemistry in your first year at the very least. I wouldn't really want to go into biochemistry with no chemical background to be honest. I have done first year chemistry, biology and biochemistry but found the biology & chemistry on their own easier than the biochemistry. The biochemistry is all about metabolic pathways (if you've done bio you'll know about the enzyme lock and keys etc, and the chemistry side of it is about gradients and ions and various reactions) and I do think it'd be hard to learn all of that AS WELL as trying to pick up on the background bio and chem that others will already have, giving them an advantage.
I work with a nurse who was studying nutrition and dropped out (and became a nurse, lol) because she couldn't pass the chemistry component of the nutrition degree.
As well, a secondary thing to consider is that all you're going to be taught is mainstream CW. Obviously you're on this website so potentially don't believe in mainstream nutrition, are you sure you want it shoved down your throat in class every day?
As for the employer thing... it's almost impossible to tell. I have worked in HR before and when hiring, the university someone went to usually is not a huge consideration, unless it's a highly prestigious or demanded role. Well-known uni's are arguably better for overseas opportunities though, and I'm always wary of any small institution that specialises in something like "natural health"... ironic given that I'm on this website but it is how I feel.
This is one of the first things they'll likely teach you in biochemistry: http://www.youtube.com/watch?v=A1DjTM1qnPM
To give you an idea of the kind of chemistry. It's not exactly in detail but you'd want to know what oxidation is, what an ion gradient is and what it does, what an iso- is, how the molecules are "re-arranging" themselves, all that kinda stuff. So it's th background of the content, rather than being the actual content itself