How does a carpet work or how do you use a carpet?

Rephrase your question, doesn't make sense as is.

No, the carpet pad moves far to much and your tile will look loose and crooked in a very short amount of time. Also, the carpet pad will not allow the adhesive to bond to it.

You would be better off buying a rug or a large piece of carpet remnant if you don't want to take the original carpet up. The peel and stick won't stick and you would end up with a tripping hazard.

if you watch a carpet cleaner at work and still think yes then you need your head examining. I HAVE USED HIRED CLEANERS FROM WOOLWORTH'S IN NSW - TWO TYPES ARE AVAILABLE - THE BARREL CLEANER WORKS...

The shampoo bottle will give you the dilution instructions. It will also say what area it will treat.