Renaming a Command Ship - it's good to rename your ships ("Enterprise" is popular, don't know why) but the new name does NOT appear under the Leaders/Commanders screen - it always displays the old game-supplied name. This is a bit sloppy.
Naming stars - I think it would be a good idea, as a default position, that if you rename a star all its associated planets are automatically renamed as well. This saves a lot of tedious typing. Renaming a star Factory, or Farm or Lab, or Utopia, for example should rename the planets Factory I, II, III etc. Of course you should still be able to name planets independent of the star name if you want.