Irritability can be a symptom of depression, so your post fits well in this forum.

Uhm, I'm not a doc, but as a "simple" depressed, I feel very angry before acute episodes, and also sometimes at the end of them. I'm never overwhelmed by anger, but I know it's so huge that If I let it out I'd be able to do something really nasty. I've been packing it up for all my life and I'm not a kid.

OK, now you won't like this, but you should give another chance to the docs, for the very simple reason that they are the only ones who can do something. Diseases are treated by doctors, that's all.
Typically, depression makes you believe that what didn't work once will NEVER work. Well, IT IS FALSE. There may be different docs, different meds, even YOU may be a different person. Being more desperate could paradoxically be of help.

It takes patience. For instance you say you have been 2 months on paxil. My pdoc kept me on paxil 2 years before a long term evaluation suggested a change to a different medication.

But most of all you need therapy. If you snap at criticism, that means that your self esteem is soo shaky and feeble that even the slightest scar makes a great and painful wound. This is my same problem, feeling unsure about oneself and consequently, endangered by every gust of wind!
You need to work on it in therapy, WITH the support of medications.

The best of luck