1) Sportsman's Permit does NOT allow you to carry a loaded handgun in a vehicle.
2) The problem with the Sportsman's Permit is that it is not mentioned anywhere in the Game Code. It is only mentioned in the Uniform Firearms Act. Basically, you have two set of rules. However, when it comes to hunting, the PGC is going to fall back on their rules. Therefore, when archery hunting and spotlighting, you are going to need the license to carry firearms. Open carry, while legal as far as UFA, hunting is a restricted activity and open carry would be a no-go while archery hunting.
3) The Sportsman's Permit covers you for concealed carry while hunting, fishing or trapping. Going to or coming from those places you plan on hunting, fishing or trapping. So, if you are fishing and carrying concealed under the provisions of the SP, walking to a store for a soda would NOT be covered. Of course, you could open carry at this point and be legal.
4) When carrying openly, the firearm can be loaded.