You could give them a common GroupName or just set all of them manually. I would suggest the latter as I don't know if it will affect anything else in the code if you were to add a group name.
Just to be clear the (Name) Fields are
"Customer", "State", "Country" and not
"Customer_Option", "State_Option", "Country_Option"
as the code you posted suggests.
If just "Customer", "State", "Country" add this to the code
Customer.Value = True
State.Value = False
Country.Value = False
If actually "Customer_Option", "State_Option", "Country_Option"
Change: Customer_Option.Value = False
To:Customer_Option.Value = True