Well I save in local storage like this. Then you saw my mapping so I don't know what to do. 
I also noticed that when it runs the update service, it changes the ACL it goes from a normal ACL:
{"54a22112e4b0408cd8fd34e8":{"read":true,"write":true}}
To a ACL that I do not like:
{"*":{"write":true,"read":true}}
Ellen,
It seems you change this storage in other place.
To check it - please use other one storage in:
Set checked value.
LInk in mapping to the request parameter.
Regards.
Sorry, I don't understand what you mean.
Could you explain this simply?
Hi Ellen,
I mean you change storage variable in other place. You have a lot of implementation in your app so i can't tell it exactly.
To check it - please use other one storage in:
Set checked value.
Link in mapping to the request parameter.
So you need to use other new storage variable.
Regards.
Yurii, here are the steps I took.
I created a variable called test variable.
I set the variable upon panel open. See other details in this screen shot. 
I have a list service where it maps the variable to a label.
It returns it as true and false depending on whether the box is checked or not.
I assume this is what is supposed to happen.
Ellen,
Yes, exactly.
Regards.
What should I do from here? That doesn't really solve the problem where it won't update then in changes the ACL.
Also, I found out why I have that inconsistent ACL when in the calves. It happens when a user updates their calf...similar to when they try to update the check boxes. Yurii, you were the one that helped me set up the update and I followed those directions exactly (obviously, because we got it working) so I don't know why it is doing this.
Hi Ellen,
Glad you have found reason of this problem.
Regards.