If your ships are as fast as the enemies, your main weapons (i.e. the 20cm lasers) don´t need to be in turrets. You can save a lot of mass by putting them in "fixed" mounts (mounting them streight on the hull)
What did kill the survey ship? Missiles, lasers?
My own survey squad was ambushed by a single precurser DD of 5.000t that was armed with 20cm UV-lasers and my desron made short work of it with missiles from outside his laser range. That being said, it took about 40 strength 3 missile hits (note: hits, not missiles, I used about 120 missiles all in all) to take the ship out and intel told me he had armor 1, so his shields had to be quite strong (the first wave of 25 hits didn´t even slow the bugger down)
If you get a thermal reading and a speed reading, you can calculate the mass of the enemy ship (asuming he doesn´t use thermal reduction for his engines)
A thermal sig of 100 translates to engine power 100, which is enough to propel a 1000t ship at 5000km/s.
My precursor above had a thermal sig of 600 and closed at 6200km/s which gave a mass of about 4800t. This estimate was later confirmed by active scans.
Formula seems to be Power / Speed x 50.000
If your precurser has PD, I fear your beamers will be ripped appart, while trying to close to range, given the passive defenses (or more correctly, the lack of them) on your designs
If the precurser don´t use missiles, your PD-turrets are wasted space (and, looking at the tracking/targeting speed and what the precursor missile stats are (33.000km/s, ECM 20, Warhead 18, Size 6), that I found in ruins I wouldn´t count on them to stop a whole lot of enemy missiles anyway)
Probably better to put the saved mass into shields/armor
Note: I sometimes skimp on passives on my missile ships, on the theory, that they can stand out of harms way, while pounding the enemy (not that it allways works, mind you) but my close in fighters will have rather heavy passives. What good is it to have powerfull battlecruisers, if they blow up when someone throws a pebble at them?
Thinking of jutland, the classification of your ships seems most appropriate, they will probably blow up like the BCs there