Your trademark was registered in the State Trademark Office, and only three items and electrical switches were obtained; Plugs, sockets and other connectors; Power plug converter. Then your trademark can only be used on these three types of products and marked with R. We call it a "registered trademark" in law. Then, using your trademark on these three types of products will be protected by relevant laws. You can see that the "approved goods" printed on your trademark certificate only include these three items. Not all products under the category 09 13 you mentioned. Not to mention all the products under category 09.

Although the commodity registration certificate indicates "goods approved for use (category 9)", there are detailed categories of goods used later.

And why trademarks are classified into 09 categories, and there are 090 1, 0902, 0903, etc. Under category 09, these are called similar commodities. The Trademark Law of People's Republic of China (PRC) clearly stipulates that if a trademark identical with or similar to another person's registered goods is used on the same kind of goods or similar goods, which constitutes infringement, the corresponding legal responsibilities will be investigated. The category here is an important scope of identification when the administrative department for industry and commerce investigates trademark infringement. Therefore, many enterprises will apply for more use of commodity catalogues and similar commodity trademarks in their own commodity use categories.

Then if you use your registered trademark on goods other than the three categories you apply for, you can't type R. If you do, it's called fraudulent use of a registered trademark. If you use your current trademark on other goods, it's entirely possible not to type R. But it is not protected by law. If someone else has registered your current trademark on the goods you use, then you may constitute trademark infringement.

I hope I can help you!