Hi all, my usual HK/Japan-USA weekend mileage turn around happened to become a EZE turn around due to low fare.

My itn:
HKG-NRT(stopover)-LAX-JFK-EZE-MIA-DFW-HK (on AA)
arrive EZE about 8am, departing about 8pm SAME DATE

I searched and will possibly take tiendaleon bus to town just to walk around and have lunch before heading back to airport, my question is:

Since I will do some shopping in Tokyo, I am afraid if EZE custom will consider that I am bring good to the country, is anyway that my luggage can checked through, say: NRT-LAX-JFK-EZE-MIA-DFW-HKG? I am ok to pay $18 exit tax for the day-trip to city and I don't need to pay the "US$1xx entry fee". I just want a way my checked luggage to skip through custom in EZE to avoid possible issues. (Turn around like this is understandable in FTers but sounds very suspicious for custom officials)

As a side note: I visited BA ten years ago (day trip) and toured the Opera House and nearby area, given I want to take airport shuttle (e.g. TiendaLeon), where should I go?

Many thanks to all!