Honestly I like the lasers you have on that, but i wanted to point out that if you have 150k range turret you're wasting capabilities by only having 32k range fire controls.
The 32k FC is for final fire PD. I'm building my ships the same way; one slow long range FC against ships and one fast short range FC against missiles.
Until you become quite advanced (or the enemy has horrible missiles), beam area defence against missiles is hard to achieve at best. A 16HS FC to take full effect of your turrets is often times just not worthit - usually you won't have the time to shoot at the inbound missiles twice anyway. For his turrets the missile would have to be slower than 30000km/s to stay in firing range for two 5 sec intervalls. And at max range hit chances will be awful.
Though one question remains for me:
Why 4 PD FC?! You will target salvos, not individual missiles. 1 FC is enough, 2 if you want some redundancy in case the first one goes down. But 4 for ONE turret?
Re: the fuel consumption, once again I support gas guzzling ships at that tech level, but you have to live with the fact that you can't spend too much time giving them task force training without wasting fuel,
My solution to this was building a space station in orbit, with hangar space etc. and I just imagined it having a very sophisticated training simulations center. No engines on the station means, it's not going anywhere even while in TF training - just add the trainees to the station's TG and off they go simulating and training without wasting a single bit of fuel.
Alternatively, you can add the commander with the highest crew training rating for the time the ship is in training - with that range, I reckon it would have to refuel at most once before it is at 100% training.
This ship is a nice hybrid between pretty much every role - the result is, of course, a ship that isn't spectacular in any discipline. As a ship with GPS 32200 it will be the prime target for the enemy, so its focus should be in defense. Neither the turrets nor the backup laser are overkill and fit right in (what's that, 6HS laser + 6HS FC? That's 600 tons of a 35000 ton ship. Keep it.).
Only having magazine space for 64 missiles is a bit weak, but what can you do? As long as you have some heavy-duty missile destroyers behind you doing most of the pounding, that should be okay.
Armor is good, range is excellent, a wee-bit too much MSP, great speed for Ion tech, meager offensive missile capability, massive sensors. This is a very solid design and with support from a fleet should provide for what you want it to: be the center of your fleet. Add a flag bridge, maybe? For bling bling?
The one thing that worries me is your missile design though. It won't hit anything unless you go all MEGA-ALPHA-STRIKE with 200 box lauchers on it. TH: 64/38/19 with <20000 speed? Imagine your Cornwall fighting another Cornwall. 38% of your ten missiles will intercept the target, that's 4 misiles. 3 of those 4 will be shot down by your PD. You might as well mass-driver all those minerals used to make 10 missiles directly into the sun.