The first EO is just silly. Many of these arms are antiques such as the popular M-1 that makes a fine hunting rifle. And many of those arms are still in their original packaging having never been used and they've been returned to the USA to be sold via the US Civilian Marksmanship program.
http://www.odcmp.com/This makes money for the government by selling US made firearms to the public.
Now the government will spend money to destroy these perfectly fine firearms.
The second EO is going to die in court in very short order.
Private security firms own the weapons they issue to their employees in much the same way an employer owns the computers most people use at work every day. Requiring that security firms (or banks or armored car companies) can't own the tools of their trade is going to die a very swift death in the courts.
Period.
S#ithead has authority on the first EO, on the second EO he's out of bounds by regulating private behaviors and interstate commerce - that's an explicit power of Congress and I imagine the Senate and the House will go batshit crazy over this.