¡Bienvenido a FlyerTalk, amigo Venezolano!

I don't think they have any incentive miles for opening an account, but be sure to get one and be sure it is in your itinerary record ("PNR") so you get credit for your miles (which last 18 months form your last activity - easy to keep them alive with any activity at all.) (Wrong! Follow miamigrad's advice for 1,000 bonus miles.)NOT AVAILABLE in 2010...

For distances, a good took many of us use (others are listed in the Unofficial Users' Guide sticky thread,) the the Great Circle Mapper.

In Business (international Business, domestic First) you can earn this many miles CCS-MIA-MEX, and you earn a bonus for Business of 25%.

If you fly this round trip within three months, you could earn AAdvantage Gold with an undocumented program called the Challenge - read the sticky thread on this, especially the first page and most recent posts, and you will get the idea pretty fast. That will learn you 25% bonus miles.

You can also download PDF schedules every month from aa.com - link in the Guide- and they list the miles between city pairs too.