Hello sir, if it is an online store, it is not illegal to open a store with the same name. As long as we do not infringe or infringe on other people's trademark rights, it is not illegal. If the store name and font size are duplicated, you can modify them and then choose to register again. However, duplicate store names and font sizes do not necessarily mean that they cannot be used. The jurisdiction of the trademark, whether it is a well-known trademark, and whether it has special protection, but it is recommended not to repeat it with others to avoid unnecessary trouble.