More fun with the Anagram Server:

Jason's name:

WORN BANJOS

My sister (formal first name):

A BREECHING HILT

My sister (short first name):

LIGHT BEAK

My dad (formal first name):

JIM, BASH LEG

My mom (married name):

GAIL, NAB JOHN

My mom (maiden name):

FOIL AWAKENED JAN