So how should I get to and from my vehicle from my apartment with my firearm? I do have a badge that can be easily displayed next to my firearm on my belt.
I am going to guess that while in uniform they will have no problem with it. Otherwise conceal till you get to your car or carry it in a gun related container (that is not considered concealing but rather transporting). Common areas are not considered your property for concealed carry. This has been discussed when carrying on property owned by a HOA.
Let me ask you this, do you have a uniform you where while working? Do you leave for work while wearing it? You said you could put a badge beside your gun, are you wanting to open carry while going about your daily business and get around the stipulations in your lease?
Once again I would speak to the property manager and explain your situation. They can not stop you from having a firearm in your apartment but they can ask you not to open carry on common areas. Your options are ask permission and get a yes or no or not ask and get no where. You have no legal statutes or recourse to back you up. If you want to open carry you will need to get permission or find a different place to live.
P.S. EDIT
I was writing this while you posted your last statement so I didn't know you had already went to the office in uniform with your weapon. Sounds like they will have no problems while in uniform. Those dirty looks are just you being paranoid. I open carry all around Charlotte and people think I am police or security all the time. The unarmed security guy at Harris Teeter is always asking me if my company is hiring. Harris Teeter doesn't allow their non LEO security to carry. They are there to observe and report.