Scammers collect this same information from lots of people they attempt to scam. Most of the time, they just ask for it to make themselves seem more real, and they don't do anything at all with that information. Sometimes (not very often) they will use the name of a previous victim in one of their scams. While this is not a good thing, it is typically very easy to prove that the victim is not involved in any way, so it won't cause real harm to you. The scammer isn't going to come to see you, and he won't call you if he doesn't think he has a chance to get any money from you. Just make sure you cut off all contact with these scammers now--don't answer any emails from them, and if they do call (which is possible but not very likely), don't take their calls, or just hang up.
You will likely see a higher number of attempts to scam you, so you will need to be extra careful when looking at job possibilities--but other than that, you really don't have anything to worry about.
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