as far as I know changing the sequence of facets is not possible at the
For Elasticsearch you can choose which to display on the configuration
page and I noticed that you can reorder the facets with drag and drop. I
was not able to test this, but you might want to give it a try.
For Zebra there are no configuration options like this, but it's quite
easy to hide some with CSS.
Renaming is not possible via configuration for either, but this is a
common task for some jQuery in OpacUserJs. I think you will find some
examples for "renaming" things in the jQuery library: