I agree, this is most likely a case of someone using the same email and password on multiple sites (like the 100 million account leak from LinkedIn)
He probably had some bot on his computer that recorded him using paypal and what not, and because paypal has some seriously impressive fraud detection mechanisms the attacker opted to take over teamviewer (if teamviewer is at all involved here, could be VNC provided by the malware for all we know) on his computer.
Now, judging by the way these things generally work the guy running the bots and the guy running remote desktop on his computer are hardly ever the same person.