I would request, whoever asked that, to clarify - that's not correct Spanish; and I am not talking about a simple spelling error, but rather, I can't really understand the question.
Vaya de nuevo a trabajo
Well, since "hola" means "hello," you can respond by saying something like "hola" back. If someone that you just met says this, you could respond with "Hola. Me llamo (your name). ¿Cómo te llamas?" This means "Hi, my name is (your name). What's your name?"
The correct grammar for the statement would be "Please respond back to Mike and me." Use "me" instead of "I" because it is the object of the verb "respond" in this sentence.
me, me and sandy go way back. She is a very nice lady. Me gusta sandy
The respond by throwing it back to them.
Neither is correct, first because the understood subject of the verb is "you" and second "respond back" is wrong. Otherwise there is a convention about the order of pronouns and names, but it is not a grammatical rule.
No, they respond to the person making the music swaying back and forth
RESPOND: To answer or react to something. For example, When someone calls your name you RESPOND by looking to see who called you. Or you RESPOND verbally by saying "I am here!". When someone writes you a letter you RESPOND by sending a letter back to them.
you respond by sayin alaikum assalam which is you saying peace be upon to you and your family back
answer; reply; retort; talk back to
They welcomed him back.
I sleep on my back in Spanish is: Yo duermo de espaldas.