1) it depends on what you mean by "necessary"... will it hold up with half the screws, yes... is it recommended, probably not. If it was my place (and yes, i have installed Gladiator stuff in my garage) I would put all the screws. I recall that Whirlpool does their load testing with half the amount of screws; they appear to really do overkill when they say it will support *** weight per ft.
2) I would staggar them.
A few other pointers:
a) it really helps to pre-drill the holes and put the screws in so just the tip is sticking out by 1/16" in the back. it helps to have a helper hold the panel while you screw it in. if helper is not an option, screw in one screw on one side with the other end of the panel resting on the ground. then pivot that other end into place and put in another screw on the other side. then finish putting in all the screws. a screw on each side is enough to hold it in place.
b) if you hit something and the screw is *not* sinking into the wall (behind the gladiator panel), do not keep screwing as it will push the gladiator panel away from the wall. i learned the hard way and this ended up bending the panel so much that it snapped it in half. if you feel like the screw isn't going in, try hitting it with a hammer and then continue screwing in slowly to see if it starts to sink in, this usually gets you pass wood knots or other hard spots in the wood stud. if not, you might have hit a metal plate or something; in which case just skip that screw.
c) the panels are not always completely straight. that's why I think it's a good idea to stagger them. if they are not straight, you can put screws in on one side, apply pressure on the other side to straighten it out as you put in screws on that other side.