Don't feel bad Ken, I bent my chuck keys trying to get the chuck off as well (I also have a G0602). I think I figured out a way to wedge the chuck key with a block of wood against the ways, and then used a large crescent wrench on one of the chuck jaws. Although I think it'd be a better idea to heat the spindle as others have suggested – I just didn't think of that. Harbor Freight sells a heat gun for about $10 that can be useful for lots of things around the shop. So if you don't already have a heat gun you might consider buying one to make the removal easier. At $10 it's not a bad purchase even if you never use it again. Damage to your chuck or spindle would cost you more than $10!

Anyway, you'll like your lathe. It's a great machine for the price. I just made a set of QCTP tool holders for mine that fit on my backsplash. I'll be doing a writeup on them shortly. I used a 3D printer to make them out of ABS plastic. They are sturdy and work great!

Here's a closeup.

I'm going to be putting some on eBay for $7 each to see if there's any interest. Let me know if you'd like some. They cost about $4 in shipping to ship up to 5 of them in a bubble mailer. I just sent some to Norman because I owed him a set. 

Anyway, have fun with your new lathe!

I could probably fit more than 5 in a bubble mailer, but 5 would probably be more than you'd need. I'm probably only going to keep 3 or 4 on my backsplash. I need to save space on the backsplash for the allen wrench holder and small parts shelf I plan to make. 

If you were to purchase an AXA set of tool holders you'd probably get a knurler (bump type, which is useless), a boring bar holder, a parting tool holder, and two tool holders. So 5 total. 

I really only use my RH and LH tool holders and my parting tool regularly enough to have them hanging on the backsplash. The other two (knurler and boring bar holder) I use seldom enough that they can be stored in a drawer. 

I'm also working on a tailstock drill chuck holder that hangs from the back of the lathe bed (secured by the cap screw that keeps the tailstock from sliding all the way off). It'l be great for storing your extra MT3 chucks. And since the holder is ABS, there's no worry of damaging the MT3 taper. Here's my first design. The current design I'm working on is an improvement and has a place to store the chuck keys as well. 

As for the HF heat gun, I am actually surprised at how many times it has come in handy. I used it when I installed two different drip systems (heating the black flex ("funny") pipe makes it easier to slip it over fittings). I've used it as a rework heater for soldering projects (although it needs a tip to concentrate the air flow – it's way to large for any precise soldering work, but I used it to salvage some components from a scrap board). And I've used it several times for heat shrink tubing. Other uses include paint stripping, but luckily I haven't had the need to do that. Anyway, for the price it's handy to have around.