Here is an overview of the Miami Heat’s pick scenario for the next five drafts:

2012: One first round pick (swap right to Cleveland); one second round pick (Memphis; top-55 protected)
2013: No first round pick; one second round pick
2014: One first round pick; one second round pick
2015: No first round pick; one second round pick
2016: One first round pick; one second round pick

Here is a detailed review of the pick flow:

2012 Activity
First Round: Miami’s own pick; swap right to Cleveland in LeBron James trade on 7/9/10
Second Round: Miami’s own pick traded to New Jersey in Chris Quinn trade on 1/5/10
Second Round: Received from Memphis (top-55 protected) in Shaun Livingston trade on 1/7/09; if Memphis’ pick is in the top 55, then Memphis’ obligation to Miami shall be extinguished
Second Round: Received from New Orleans in Marcus Thornton trade on 6/25/09; traded to Cleveland in LeBron James trade on 7/9/10

2013 Activity
First Round: Miami’s own pick traded to Cleveland (top-10 protected through 2014; unprotected in 2015) in LeBron James trade on 7/9/10
Second Round: Miami’s own pick

2014 Activity
First Round: Miami’s own pick
Second Round: Miami’s own pick
Second Round: Received from Minnesota in Michael Beasley trade on 7/12/10; traded to Minnesota in Norris Cole trade on 6/23/11

2015 Activity
First Round: Miami’s own pick traded to Cleveland (top-10 protected through 2016, unprotected in 2017) in LeBron James trade on 7/9/10
Second Round: Miami’s own pick

2016 Activity
First Round: Miami’s own pick
Second Round: Miami’s own pick