The braces should be good and strong. You can widen them to 6" if it makes you more comfortable. I'd be tempted to glue strips about 2" wide around the perimeter as well, sort of like eurobracing. If you're going to put a heavy wood frame around the top edge as well, it should be more than enough, even without the simulated eurobracing.
As for the holes, they should hopefully be OK, especially with the bracing glued back over them. The real problem is the constant concentrated stress generated by a screw head, along with differences in the thermal expansion rates of steel and plastic.