As the post above says, you need to uninstall anything that has been recently installed on your computer and run a virus/malware scan. Most of the time these scammers are not selling you anti-virus, they are installing viruses/malware on your computer then will call later asking you for more money to remove this. He did install things on your computer -that's the main point of this scam to install keyloggers, viruses, malware, etc
There is also a chance that they copied everything on your computer depending how long you were on that remote access site. That site gave them access to everything - your files, emails, contacts, saved passwords, etc. To be safe change the passwords on your email, internet banking, credit card and any other financial or sites with personal information.