Live scan is for criminal record check. Basically, your fingerprint will be checked against the FBI and Department of Justice databases.
"Background check" is a general term for education verification, employment history verification, criminal record check etc etc.
__________________
|Date of initial EAD| 4/1/2013, expire 3/31/2015
|1st renewal| expire 3/6/2017
|2nd renewal| expire 3/6/2019