Here is a list of The Honor Harrington Books in Order.
#1 – On Basilisk Station (1992)
From the blurb:
INTRODUCING HONOR HARRINGTON
Having made him look a fool, she’s been exiled to Basilisk Station in disgrace and set up for ruin by a superior who hates her.
Her demoralized crew blames her for their ship’s humiliating posting to an out-of-the-way picket station.
The aborigines of the system’s only habitable planet are smoking homicide-inducing hallucinogens.
Parliament isn’t sure it wants to keep the place; the major local industry is smuggling; the merchant cartels want her head; the star-conquering, so-called “Republic” of Haven is Up To Something; and Honor Harrington has a single, over-age light cruiser with an armament that doesn’t work to police the entire star system.
But the people out to get her have made one mistake. They’ve made her mad.