Paid J gets any access to any J lounge owned by a Oneworld member, including the Admirals Club. Contract lounges can cause problems. You will get contract lounge access for the J carrier (Lan Chile, in your case), but if you try to get into a contract lounge of another carrier, they may or may not let you in. In any event, the only time I went through EZE, the Lan Chile lounge was a thorough disappointment, basically consisting of a room and a television. The only reason I stayed is because a certain other OW carrier f'd up so badly that I had to go up against LA to get to Santiago and that's where the CSR was. The Admirals Club was closed at the time, but I have been told they have showers, which you will have access to if it's open.