So... is Melty Lancer finished or not?
NO, it is not finished.
Why?
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
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Synopsis
Melty Lancer follows a specialized unit of the Galaxy Police Organization, comprised of six talented young women.
After a year of disbandment, a new and dangerous threat emerges, forcing the GPO to reactivate the Melty Lancer team.
The girls must reunite under new leadership, including a new commander and aide, to face this unknown enemy and protect the galaxy.