give the kid a slight break. While he does seem to have a thick skull at times, he's at least making somewhat of an attempt at learning.
Here's my 2 cents. I never had a cackle issue until I put my cheap $40 ebay "high flow cat" in. It's 100% ineffective. The only reason I really wanted it was to replace the clogged (270k miles) cat I had in there, and oddly this ebay one is cheaper than getting a stock one! I've since upgraded the rest of the exhaust, but if you want to get rid of the cackle, you're gonna have to throw a stock converter back on. Your motor doesn't have the flow to compensate for the drop in backpressure that it's designed to work with, thus it's acting funny.
My reccomendation, just leave it and deal with it. At least when you're on the gas hard it will "work" better.
Here's my second of my two cents 91. While it is fun to work on and modify a car, I think a lot of people on these forums will agree with me that the majority of your work should be making sure you have a reliable functional car. I would invest your money into parts that will net you a difference. Save up for some suspension components to stiffen the chassis up. get some nice wheels with some sticky tires. If I had an accord like yours, I would wait til I had a need for a larger exhaust before putting one on (i.e. cams, pistons, turbo, etc. ). your motor is not one typically associated with lots of bolt on potential.
So here it is. Go put your stock exhaust on, get a cat so you're "legal", then go find a new head and build it up slowly. P and P, cam, springs and valves, etc. once you've got that straightened out, re-ring the bottom end and throw new bearings in, throw the head on, and you'll see a need for a higher flowing exhaust. You should probably build the bottom end too, so for that matter, go find a spare motor.
I know some of this might be difficult for you with your lack of experience, but I won't lie, I learned just by diving in and doing it. I didn't even have a full set of tools the first time I went to pull a motor (99 daewoo!!!!), but I do now (the cherry picker too)! If it's something you really think you'll enjoy for your life, get the tools and start learning. otherwise, re-evaluate your life, get a reliable car and just pay for tune ups and gas like most people out there do.
damn, I typed way too much.