Is it safe to take a 1000mg Fish oil, zinc-free multivitamin and a 30mg zinc tablet with breakfast every day?

Also, is it even necessary?

I work out quite regularly, and I do eat frequently and some-what healthily, but my diet varies, so I guess I don't always get exactly everything my body needs on all the days of the week.

I've also heard that Zinc, despite a lot of it possibly being a placebo effect, can contribute to clearing up your acne, which is always a plus side for us sufferers.

Zinc is a new thing to me, and I've heard it can make you feel sick, will this effect still partially remain, even if I take it with a meal?

Thanks