I think it's a great ship, and very similar to the sort of thing my empires build when just barely staggering into space. I completely disagree with almost everyone above (except Steve). I think all of them build foolishly short-ranged (fuel-wise) ships with razor-thin maintenance margins and nowhere near enough deployment time. I'm pleased to see someone else building ships I consider 'reasonable'.
(Though honesty compels me to note that my ship design philosophy is guided largely by (A) what historical precedent would be fun to duplicate in Aurora and (B) the theory that 90% of the time Aurora space battles are going to be deteremined by how many of what type of which tech level of ships show up, so I might as well have fun dying gloriously for the empire when my lone cruiser encounters an enemy battlefleet and promptly gets annihilated.)
The things I would do differently, if that were my ship, would be to not use reduced-size tech for the laser, as I find the reduced Rate of Fire is more of a hindrance than the extra weight, and to have only two Beam Fire Controls -- one specially-matched to each size of laser. The number of times a ship like this would need to shoot at four separate targets simultaneously is practically nil.
At such a low tech level as yours, I prefer to have a single size of Power Reactor for my fleet. As a personal preference, I only build reactors large enough to have at least one Hit-to-Kill, as I really, REALLY hate having 0 HTK systems (since they blow up, but don't 'absorb' any damage, a ship can lose a LOT of functionality to a single point of damage.) As Michael Sandy pointed out, your weapons only require 4 power per 'turn' (i.e. 5 seconds), and your ship generates 12. That's probably more redundancy than you need, so you can safely drop to two Class 2s or three Class 1s.
As Panopticon pointed out, this ship has no active sensors and therefore will need some other vessel (or planetary sensors) to spot targets for it. This is not necessarily a problem, just something to be aware of. (On the other hand, it's easy enough to fit a 50 ton/1 Hull Space active sensor onto it. Beam-armed ships don't need a lot of range to spot their targets, although somebody needs to be able to search the system for enemy fleets.)
I look forward to seeing the Endeavour Mk II Battlecruiser. . . perhaps called the Morse Class (a British TV joke).
. . .
P.S.: If you read Kurt's "Corporate Federation" fiction, you'll see a lot of techniques for making a more efficient and combat-capable fleet. Game-efficient, that is. Personally, (and with absolutely no disrespect intended to Kurt) I find the paradigm of:
1. Spot the Enemy before they spot you
2. Fire a load of missiles at them
3. Watch them blow up
-- (Repeat steps 2 and 3 as necessary)
4. Fly home to rearm, refuel, repair, rest, refit, etc. before the next fight
to be a very boring way to play Aurora. I would rather sail my battle fleets at the enemy, all guns blazing, and have half of them blow up every fight.