No. It fits 1.5" drain.
Yes, it will remove it provided there's still some "meat" in the drain hole itself. I struggled getting mine out until I found this and couldn't believe how easy it came out.
No I don't think that it will assist you. The smallest drain I think it would fit would be 1-1/2 diameter.
I just bought one of these today at my local store. It said that it was out of stock within 60 miles, and I just so happened to walk by the tub drain repair parts and they had 3 hanging on the shelf. Not sure why the website is wrong, but its worth looking for yourself if you need one. The receipt number is 017197652554 (maybe HD can fix this) Tub Drain RE - Husky Tub drain remover $13.31
This tool is tapered. It measures 1-3/8" at the bottom and 1-3/4" at the top.