The bottom rod is out the most as depicted . The depth from the back support long vertical piece to the side of the knob on the rod is 4 and 5/8th inches.
Yes the rack comes in pieces and you have to assemble the unit.
It did not on mine and depends on clearance at top of door. I would guess you need at least 1/16" clearance at top of door. I ground off horizontal part of hook, drilled holes in remaining vertical sections and screwed rack to door.
My is entirely chrome and first rod is at about 7.5 " below top.
The door hooks can fit doors up to 2 1/8 inches thick.
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I cut off the hooks. However, before doing so they fit over my 1 1/4" thick door with room to spare.
I would say yes as the hooks fit over my 1 1/4" door with at least another 1/4" if not a little more to spare.