I believe that lengthy AMax box you've got not only houses the Mac ROMS, but also provides a way to hook a Mac drive up to it. You'll still need to boot the AMax software and then Mac OS. 6.02 was popularly used with that setup.
Going down your list:
1) Old Amiga 2000's routinely have weakened power supplies at this stage of the game. Not a bad idea to replace the capacitors in them or hack your way to outfitting a PeeCee power supply for it.
2) Open up your Amiga 2000 motherboard... you'll see its revision clearly labelled in
the rear and near the video port. Look for more than just a letter. Yours might be a rev. 4 since you mentioned the old AMax box.
3) If possible, download and install Sysinfo from Aminet.net to learn about your
Kickstart revision if you don't want to poke around too much. The Kickstart chip is
under the drive plane and that requires you to remove 4 screws in the rear (power
supply) and three screws in the front. Also, without a HD plugged in - you'll see a hand
prompting you to insert a Workbench disk. The version of OS will be clearly visible. I
bet you have 1.3.
4) You know you have an expanded processor card if the slot just to the left is occupied and assuming you did not acquire this in Germany. Those German mobo's
routinely had a 1mb Ram card there. Not sure where you are posting from, but if you are from Germany and
it's an early enough revision motherboard, you're going to have more problems using that Fast Slot. Anyway...
sysinfo will also tell you what processor you have, what kind of Agnus and Denise chips as well. I'd guess you have just the 68000 though and that is suitable for running OS 1.3-3.1. 1.3 is the way to go if you're not going to be
doing much with the computer besides gaming from floppy. If you want to do more modern things with your late
80's era Amiga, you're going to want to install a 3.1 Rom and OS 3.1.
5) 8mb Fast Ram is the limit on Amiga's with the 68000 processor. To get more than
that, you'll have ram added about the 16-bit addressing of the Zorro II standard. In
other words, the nicer accelerator cards 030+ have ram slots and are configured as
32-bit ram. These types of cards typically allow you to add as little as 1mb 32-bit
Fast Ram all the way up to 128mb.
It's fun to tweak and upgrade Amiga's, especially if you have a specific task for it in
mind. IF you're looking to play the occasional game, you're likely not going to need to
soup her up too much. All depends on what you want to do with her.
Since you mentioned something about a slightly flaky power supply, I'd start with that
first. Either have it repaired or find another one. Chances are, the one you find later
will need servicing too anyway.
Accelerating your Amiga can be frustrating as hell for a myriad of reasons. You've
been warned. Find out what you'd like to do with this machine and we can further
advise you on what to do, where to go, etc.
Plus it will cost you an absolute fortune to upgrade