You fall into #2 of the "listed as ineligible" for a firearms license (not yet 21) - therefore you cannot conceal the weapon in your vehicle. At home, most anything goes.
The general consensus is that it is nearly impossible to keep a firearm "totally exposed to view".This code section does not forbid the carrying of a loaded handgun in any private motor vehicle by a person who is not licensed, but also who is not prohibited from possessing a firearm, in an open manner and totally exposed to view.
Plus you are faced with a real problem. You don't want to leave a gun in the car where anybody can walk by and see it (it would get gone), while at the same time, you cannot put it into the glove box or carry it on your person.