Question about program - Support-LogMeInRescue

Had a problem with Epson printer.  Went to site and received a pop up message to call support.  Number was 844-992-9996.  Called and person I spoke to discussed the printer feeding problem I was experiencing.  Asked if I wanted to give him access and directed me to site: "support.me" where he asked to ok the prompt.  My computer showed me a program in my download folder called "Support-LogMeInRescue" with 2344kb size.  Norton said program was ok.  Small conversation screen opened and showed me screens claiming my computer has 300+ device connections, rep claimed my computer  was heavily infected.  I terminated conversation and programs.  

When I looked at the info on Norton, Norton states this version is new and only 7 days old.  

Anyone have any insights as what steps I should do to protect computer.  I examined my Control Panel programs installed and see no new program showing.  I have not deleted downloaded exe file - Is there somewhere I can send it at Norton who can validate the file and purpose.  Can they make sure that program has not installed any backdoors to my computer system.?

Am looking for a phone number at Norton to call to alert them about this.