When a registered trademark is used, it should be enlarged or reduced simultaneously according to its proportion. If you want to use it separately, you can, but it should be regarded as another unregistered trademark of yours and cannot be marked with an R. At the same time, you should actively register the two separated parts separately.
It is recommended that all corporate trademarks be registered as they are intended to be used. Before applying for registration, an overall plan and design of product packaging should be made.