Please don't do it!! Sounds very much like what happened to us when selling a dirt bike last year. Same type of email - they were in a rush, couldn't get to interent connection very often blah blah blah. They wanted to know our postcode so that they could arrange a quote for shipping and obviously our paypal details. We had no money in the paypal account as we opened a new one as we thought it sounded little suspicious. Little did we know that all you need to know to hack a paypal account and be able to change your password is the email address of the account (which was obviously the one we were using to contact this scammer) and 'if you can't remember your password' all you need to do is put in your postcode.
These scammers know what they are doing. We were lucky that we realised our paypal account had been hacked and rang our bank straight away. There had been some dodgy things happening to the bank account they said but they didn't process them.
Our tip: If it sounds dodgy - chances are it is!!
I've had very good dealings with PayPal but I am also concerned with the ease that you can hack into someones account. Be warned!! We were NEARLY stung