Damn yes, I struggle with that too. Those T6's are so fragile.
I had best results with mouse-aiming (maybe that's becouse I have only a cheap-burro hotas) and either multis or pulses.
Once the shield is gone, be sure to use a weapon group with only one or two small/medium weapons. Watch it that you don't have any corrosive ammo equipped! You'll want to have weapons with high armour-piercing and low hull-damage and no jitter.
Also, low-sec was not low-sec enough for me. Absolute beginners like me (and possibly you) are best served in Anarchy. There the aspiring pirate can take his time to practice on his unwilling subjects.
Also it's a good idea to have some kind of rockets on board to strip those ships of that annyoing point defenses, if you are trying to hatchbreak without sniping the power plant first.
And finally learn from where to hit the different ships to damage the powerplant: from above, below or behind. T9 is best hit from above, Anaconda from below...
Knowing all this in theory, it's still hard to do for me. So maybe anyone has more expert tips?