I don't give facebook access to my information like that. It is an application and they use your information.....read the fine print.
You can block the apps. What you do is:
Go to the "invite requests" in the top left corner of your FB screen.
Go to the BOTTOM of list where it says "see an requests"
Click on See All Requests.
Block ALL the applications you do NOT want to receive invites from...mafia wars, Zingo, Frontierville, FamilyTree, Just Between you and me...all of them...
I'm sorry you are in this situation with your dad. I wish I could get my dad on FB!!! :) If you can't handle the contact with your father - then delete him as a friend and block him. Sorry - I know that sounds cruel but all you are doing is creating a stressful situation for yourself.
If you feel you can - send him a message and tell him to stop sending the requests for this application. You don't want spam. If not, then just block the application and be done with it.