So, you've designed a carrier that has the fuel to fly around for 6 years, crew space that people can live in it comfortably for ten, but that will explode due to maintenance failure 18 days after it more leaves orbit? Add engineering spaces, consider removing some crew quarters and fuel capacity.
Is this carrier supposed to operate independently or as part of a larger task force? At the moment it has absolutely no way to defend itself against incoming missiles, no way to traverse jump points (or maybe you're playing with jumpgates on everything), and pretty poor sensors.
As for the fighter, I'll spare the lecture on the infeasibility of a fighter armed with anything other than missiles, and focus on the obvious bits: The capacitor on the railgun is larger than the power the weapon requires, this makes the railgun more expensive without actually providing any benefit. The reactor is twice as large as it needs to be to provide the power for the weapons. The tracking speed on the firecontrol is less than a third of the tracking speed of the railgun itself. The intended deployment time doesn't need to be longer than 16 hours. The fighter doesn't have an active sensor, so presumably you intended the carrier to do the targeting. This isn't about the fighter, but really, that carrier needs some defenses. 16m km is a short range missile.