If the person is harassing you, you can choose to report them. I think you are then asked if you want to block the person. If not, you can do it yourself by going into Edit on your Friends List. Just click the X on the same line as the person you intend to block.
go to their profile and where it should say add this person, should say something like block this user
No
No, if you block someone on Facebook, they can not see any of your activities
To remove someone from your Facebook you unfriend them and if that doesn't work you can block them. That will take them off.
You can stop someone by sending message only by blocking that person from your Facebook. Messages will only be stopped when you block the person who is stalking.
If someone blocks or unfriends it works both ways. If someone blocks you they should no longer appear on your fb 'home'
No.
search their name with a different facebook account.
Very carefully block the application on your FaceBook account.
If you send someone a message on Facebook Messenger and then block them, you will not be able to see whether they have read your message. Once you block someone, you lose access to any interactions with them, including read receipts for messages. Additionally, the message may not even appear in their inbox once you block them.
When you block someone on facebook they have no access to anything of yours on facebook. If they type your name is search nothing will come up. If you and the blocked person have a friend in common and you post something on your friends page and the blocked person see's it your name will come up as Facebook user. As well when you block someone you are blocking yourself from them aswell. So the same rules apply to you aswell.
When someone has blocked you from their Facebook, you won't be able to know if they have also deleted you.