Hi AncientofDays,
First let me tell you "where I am coming from." I was raised a JW and I left in my early 20s. I am now an atheist and will do anything in my power to ruin the Watchtower's control over people's lives, ESPECIALLY children.
Have you asked your boys WHY they want to do this? There are three possibilities, the way I see it:
A. They want to do this to please Mommy, thinking that their becoming publishers will elevate Mommy's "ranking" in the congregation to offset the "harm" that your inactivity has caused to her "ranking."
or
B. They really want to enter a career as colporteurs (book salesmen). All the glamor of vinyl siding, but with a lighter sales bag!
or
C. They have become convinced that they must BUY THEIR SALVATION by "deeds." No impressionable child wants to have his eyes rot out of his head and his tongue rot out of his mouth at Armageddon, and if dragging his butt from door-to-door is the approved means of escaping such a fate, well, where do I sign up?
You need to explain to your kids that God does not require a properly filled out field service report - especially not from youths as young as they are, and that you and Mommy will protect them from MEN who want to throw them into the fiery furnace. They need to be told that they don't have to worry about this until they are 16 or 17 or 18 years old, and that their job now is to have a delightful and memorable childhood.
Then work like heck to GIVE them that delightful and memorable childhood by SPENDING TIME WITH THEM while Mommy drags herself from door-to-door. Always give Mommy the option of "taking the day off" and joining you on your visits to the park and other amusements.
Fortunately, any normal kid has plenty of positive self-interest and will not be so willing to give up SELF for a book publishing company that lyingly promises salvation on the next doorstep.
GOOD LUCK!