1- It is enough to wash it once with a little water.
2- You can just wash that part with some water, and if it is not possible, but you can take that piece off and pray without it, then do it.
Otherwise, if all this is not possible, just pray with non-pure clothes, but do not leave the prayer to become Qaza.
3- If he handed it to you and it was wet, then, just wash your hand later.
4- Yes, but why do you need to wash the clothes if he did not touch them?
5- Ask him to wear gloves.
Otherwise, do not do the Keratin. It is not must.