A special machine usually only found in tire shops.
Yes, balancing is matching the tire to the rim. No two tires or rims are exactly the same and so balancing is always required when mounting a different tire to a rim.
Tires fit onto the wheel rim
No, the lettering is molded into the tire, you would have to scrape it pretty hard to remove a letter or letters. A tire machine only touches the outer lip of the tire as it pushes it down under the lip of the rim.
14 inch tires work on a 14 inch rim.
Tires off the rim, or the tire and rim off the bike?
Not usually. I've mounted quite a few tires, and had a few mishaps, but the rims never became warped or bent out of specification. Usually it takes a torch or a curb check to bend a rim.
You have to mount ANY tire . It won't do you much good unless it's on a wheel (rim) -that's what mounting is. Balancing is essential on front tires to avoid high speed wobble and bounce. -On rear tires not really necessary, but preferable.
If you already bought the tire and are mounting it onto the rim, most shops charge around $10-$15 to mount, Add another $5-$10 for balancing.
no you need a 16" rim
Yes, you can mount 225-60r16 tires on a rim made for 215-65r16 tires.
16 inches or more on the rim and tires for inches in width
no. the opening for the rim in those tires is 15 inces and the rims are 16 inches. The rim is 1 inch larger than the hole in the tires.