# in executing

"in carrying out" or "in accomplishing"

# what was right in my eyes

"what I judge to be right" 

# the house of Ahab

"the family of Ahab" 

# all that was in my heart

"all that I desired for you to do" or "all that I wanted you to do" 

# sit on the throne

"be the kings" 

# to the fourth generation

"for four more generations". This refers to his son, grandson, great-grandson, and great-great-grandson.