– Temporarily disable all plugins to see if it does resolve your issue
– Temporarily switch to another theme such as Twenty Fifteen or other theme.
– If nothing helps, try to install a new theme to see if you it is allowed and you have access to that feature as well.
The data of the customizer is stored in the database and if you use the same database then all the customizer setting will be there . So please follow above steps and verify the issue .
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