Does this tub include a faucet or drain?

No. It is the tub only. You need a freestanding or floor-mount filler and a drain sized for the tub's opening, plus an overflow if your plumbing requires one.

Will a 60-inch tub fit a tall person?

A 60-inch oval works for most bathers up to about 6 feet, but taller people will not fully stretch out. Check the interior length against your height before buying.

Is acrylic better than cast iron here?

Acrylic is much lighter and warmer to the touch, which helps on upper floors and in cold rooms. Cast iron holds heat longer and resists scratches better, but it is far heavier and harder to install.

How do I install a freestanding tub like this?

It sits on a leveled floor with the drain connected through the pedestal base. A floor-mount filler or a wall-mount faucet is the usual pairing, since there is no deck to drill.

How do I keep the acrylic from scratching?

Clean with mild soap and a soft cloth, avoid abrasive pads and harsh solvents, and use a tub mat if you are worried about scuffs. Small scratches can usually be polished out.