You mention that the boat sat for a duration. Most any sea water pump impellers that have not been used for a year or so, will need to be replaced.
When a rubber blade/fin type impeller has been at rest within the pump body, three/four blades have been stationary against the impeller "cam" (or for the Alpha, eccentrically positioned)!
This causes the rubber to eventually take a "set" and to loose resiliency. They will generally not recover from this. A replacement is imminent.
I'm going to say that is your place to start!
You may also want to look for any burned components...... rubber exhaust couplers, hoses, etc. If any impeller blade pieces are missing (when you remove the old impeller), these pieces will need to be retrieved.
A 260* over-heat is not good! Keep a very close eye on things when you try operating again. Check the engine oil periodically for any signs of moisture/water.
Also note that water must be present before starting the engine.... even for a very short duration. Water is the lubrication and coolant for the impeller.
Bottom line..... no matter what the hour meter says, it's ole Father Time that kills our impellers..... particularly when NOT in use! If you plan to lay your boat up for any long duration, at least remove the impeller.... or plan to replace it before running the engine again!