First of all, I do enjoy pvp but mostly on the ground. Why not in space? I GET CANNED LIKE FIVE SECONDS INTO BATTLE! Ok, so I need a faster computer and better video card, but even when I have perfect quality, someone fires on my shields with cannons and my hull is down to zero in 2 seconds. Dang. hate it when that happens. Anyway, I have tried fighting with beams, I never can penetrate shields! I have tried a cannon rapid fire with my Chel Gret, never works. Still the Defeated! screen. Ok, one more must I do? Even people with beam attacks destroy me. Requesting immediate assistance! (I have noticed carriers work well, but I don't have easy access to one on Fed character)
-star trek online minimum DPS requirement
vortex probe hp = 62365 x3 = 187095. speed = 0.8 km/s(about) giving about 25 seconds to kill them while in range, this means you need an effective DPS output of 7484, or your build is a failure.
Shields won't save you all by themselves, not unless you've got ridiculously high innate resists somehow.
I'm assuming you're not using defensive skills. A simple combination of Tactical Team 1 + Emergency Power to Shields 1 or 2, and maybe even a hull resistance buff, will generally keep you alive in combat unless you're being focus-fired. That takes a little more skill to survive.
If you're wandering around relying on manual re-routing of shields and little or no shield heals/buffs, you're gonna get torn to pieces in PvP.
pvp is not pve, what work in pve often do not work in pvp... It's not only a matter of equipment but your overral build (skill and abilities). Moreover I think your ship is not the best choise for pvp because your turn rate is a bit low and the boff layout is not optimal (for a tact/tact toon who should have dps and manoeuvrability). A fleet patrol escort or a charal are better... May be a different destroy is also good, but my tactical toons only use escorts.... so I can help you only about escorts.
I'm not sure how to attach something, but my current armaments of the Chel cruiser are 2 Polaron dual cannons, 1 dual heavy polaron cannon, 3 turrets, a tranphasic torp launcher, and a transphasic mine torp.