# when all Israel heard

"when all the leaders of Israel heard" 

# king over all Israel

"king over all of the 10 tribes of Israel". This means the northern ten tribes that rebelled against Rehoboam.  

# There was no one who followed the family of David, except only the tribe of Judah

"The only people who followed the family of David were the people of the tribe of Judah" 

# the family of David

"David's descendants"