Public health license.
As a tenant of a shop space, it is usually your responsibility to get the necessary licenses and permits for your business, not the landlord’s.
However, some landlords might include clauses in their lease agreements that require tenants to comply with certain regulations or standards. For example, the landlord might require you to have a public health inspection before renting the space, or to follow certain sanitation or safety rules. You should check your lease agreement carefully and consult a lawyer if you have any doubts or questions,
It is also possible that the county council has different rules or procedures for issuing public health licenses than the ones you are familiar with. For example, they might have different criteria for inspecting your shop, or different fees or deadlines for renewing your license. You should contact the county council directly and ask them about their requirements and expectations for getting a public health license for your tailoring business
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As for your question, your landlord is responsible for any aspects of health and safety written in the lease, for example in communal areas. You must take reasonable steps to make sure your landlord fulfils these.
I'm sorry to hear that you have been having issues with the public health license. It is important that you follow up with the relevant authorities to ensure that you are compliant with all regulations. You can also seek legal advice if you feel that your rights have been violated.