I cannot stress enought DON'T USE the Analyzer to determine which items to remove. This analyzer here is way, way out of date so don't do ANY removal based on what is shown there. Many entries which refuse to be removed quite possibly ARE legitimate files and are needed by the computer. Plus HJT is really NOT a fixer program but a scanner program. Final general clean up fixes can be done with it at times but most of the time that isn't necessary.
Norton really should be removed using first Add/Remove and then the Norton Removal tool that you download from their website.
Just to be certain all of that is gone do, or have him do a file search for Norton, delete anything found and then for Symantec and delete anything found.
We really need the logs from the link I gave before I can or one of the other helpers here, can determine what can and should be removed. Entries noted often times depend on location...that is...if something is noted in one location it is probably an infection BUT noted in another location then it is a legitimate file and must not be removed.
I certainly will be happy to "walk through" removals and fixing but he actually has to be her on the site to do that.
Have him do steps 7 through 9 on the link, saving all logs. Tools are very easy to run, honest, just a click, it runs and that is it. Once all those are run then a new scan with HJT should be run.

You say that
He's running an old PIII comp, make unknown.
what is the hard drive size and amount of RAM?