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The amount of dishonor shown by the suitors deserved death
Murder is never ok
Athena said to and you must always do what gods say
The suitors were a large portion of the warrior class on Ithaca (and nearby), so it is foolish of a king to destroy them. What warriors would serve him if a large portion are dead?
Odysseus has already killed a lot of people
On balance (if you add up all the pros and cons) there are a lot more reasons to kill than reasons not to
Penelope is the queen and the suitors are disobeying her, so they are disobeying the ruler which is grounds for death
The suitors violated xenia
The suitors were trying to marry his wife and it's always ok to kill anyone who is trying to marry your wife.
Odysseus should have given the suitors another option (reveal himself, tell them to leave?)