I decided to try installing Norton 360 as an added security measure in my Mac. .
If you ask any long-time Macintosh users you will find that Norton products have a long history of being reviled by Macintosh users.
The vast majority of Macintosh users do just fine with no third party anti-virus or other security products at all. However, if you want one, here is an excellent free one:
VirusBarrier Free Edition (free)
Intego Launches VirusBarrier Scanner — Free Mac Antivirus | The Mac Security Blog
Intego VirusBarrier Scanner on the Mac App Store
This is a full version of Intego's anti-virus program VirusBarrier [usually $40/year] minus some [but not all] of the automated scanning features in the commercial version. Intego's VirusBarrier is the only anti-virus [AV] program that comes from a company that only creates software for the Macintosh. And that company is extremely effective at discovering new malware as it comes on the scene and updating their product to protect against it.
Have a look at this respected review site:
The Safe Mac » Mac anti-virus testing 2014
(Scroll down to the table listing various product’s efficacy. Note where Virus Barrier is, and where Norton is in that table.)
However, just for the record, I DO NOT think that you need anti-virus software on your Mac, and in fact I recommend against it. The Mac has built-in anti-virus software, there are extremely few threats in the wild for the Macintosh, and in general anti-virus software tends to be more trouble than it is worth.
I have the following notification box appear every minute or two:
The computer “Paul’s-iphone.attlocal.net” is attempting to access rapportd on your computer. Do you want to allow this connection.
.
Norton is set to notify you whenever there is outgoing or incoming data to/from your Macintosh. That will eventually drive you mad, because there is a lot of this sort of communication, and it is perfectly normal and benign. Also, it's really hard to determine what might not be acceptable communication and what is, as you have found.
I highly recommend that you uninstall Norton.
Uninstall Norton device security on Mac