ST03G not show the instance

The configuration of the transaction ST03G is 100% user specific and
this is not related to the user authorization, but every configuration
for every specific user is stored in the table SGLWLSLIST.

So that every specific user does need to setup there own configuration
in the transaction ST03G. You can use the report SAPWL_CPSGLWLSLIST to
copy an existing user configuration.