here is how that scam works, if you fall for the first part and give them all the info they will contact you again to let you know they would like to make a direct deposit into your account and ask for routing number and account number.
Once they have that your bank account will be drained completely.
This scam was also worked from a "work from home" business where you were a reshipper. They would buy things with stolen credit cards, send them to your address and have you repackage or re-lable items to be shipped back out. They pay you well for about the first 5 to 10 items you ship and then ask you for your account number so they can make direct deposits rather than paying you by check. At this point most people are getting paid so they fall for it thinking that its legit. In the mean time you lose all your money and the cops are now showing up cause you're fencing stolen goods.
If there was only a way to round these people up and beat them senseless....