No it did not come with a hi-density floppy.
I had the latest/highest option A3000T-040 you could buy from commodore and it came with 880k drives in it. It even has A3000T-040 silkscreened on the front of the case, no 030 on the motherboard, and came factory with the DMAC-4/RAMSEY-7 and fully populated with 18megs of ram on the motherboard. I bought the buster-11 as soon as it was available for it, and replaced one of the drives with a 1.76meg one which cost over $150.00 from the local commodore dealer at the time. I eventually put 3.1 ROMs in it as well. As far as the physical drive type for the case, its the same style floppy drive the A4000 uses. The A3000 style button snaps onto the metal part of the eject lever exactly like the A4000. So if you want a hi-density floppy, just get the one that COMMODORE (not aftermarket) sold for the A4000, pop the plastic face plate and eject button off, snap your A3000 eject button onto it, and install it.
Everywhere in the A3000T manual that floppy drives are mentioned, they are specified as 880k. The HD floppy drive is not even listed under "expansion options". If any A3000Ts were sold with 1.76meg floppys, that would have been a dealer-installed item. HD floppies did not become commonly available until the A4000/A1200 era.
I believe the original hardisk that came in my A3000T-040 was either 100 or 120 meg. I addes so many hardisks through the years, I could be wrong about this, but it was not a HUGE size..
Yeah the key has 3 positions. lock, run, and reset. The reset position is spring loaded to be "momentary" like the "start" position on a car's ignition switch.. heh. kewl as hell.. too bad you dont have the keys. They are real nice.. They are metal, with black plastic covering the ring-end with the commodore logo embossed in it..
The system also came with the "pregnant" mouse.. These mice are pretty nice, fairly hi-resolution, much better button feel, and TONS better than the A500/A1000/A2000 mouse.
The keyboard was the same one that came with the A3000D/A3000UX... Not the A2000 one.
The external SCSI terminator was a chrome-plated DB-25 "dongle" with the C= logo embossed in it.