ジャイさん = Mr. Jay     

the ending (-san) is put behind the name to show respect like mr./ms./mrs. it's easy to use and understandable. There is no different in sex, age and status. It also can be used in another cases and there is also an exception. 

it's me again and my little student, Tsukie keke 

Today is for the phrases when you want to show sympathy to the others in a good manner, in the japanese cultural it's the right thing to do. And the phrases used to greet the others when they have a good thing in life.