Besssie

Hi, I found an ad on craigslist.ca for a 2004 BMW 330i for $5000. This car, even earlier models, are going for $16 000. I contacted the seller and this is what she said (2 e-mails):

First e-mail:
Hello,
You made the right choice! BMW 3 Series 330i is in great shape,no engine problems,damages or hidden defects and is still available.It was always garaged and never kept outside.I`m a single mother with 2 children because i divorced with my husband and after the divorce i own this car,i don`t need it and that`s why i`m selling it so cheap.The mileage is 39,507 and the price is 5000.We will use eBay`s protection program for our safety.I just need your full name and address so i can open a case.(with no further obligation or fees).Have a nice day!

Second e-mail, after I asked to see her and the car in person:
Hi..I'm not in the country at this time,but if you want we will use eBay in this transaction in order for both of us to be 100% protected and insured by them.eBay will supervise this transaction so there won`t be any problems.They will take care of the shipping and all the small details.You will get the car and you will have 5 days of inspection in which you can decide if you buy the car or not.If you won`t like my car(not your case)you notify eBay and you send the car back on my cost,if you want to keep it you announce eBay you send the money(payment method and all the details will be set up by eBay)and you keep the car.
eBay will send you an invoice at your email in which you will see how to start this transaction and in which you can see that this transaction is legit.Please get back to me with your full name,full address and phone number so i can forward your details to eBay in order for you to receive the invoice.Wait your reply

I did some research and found that e-bay does not handle payments. Is this a scam and what can she do with my name and address?