How to protect Legagcy Software when creating a new user profile

A week ago, my Apple iMac suddenly stop being able to connect to the internet and load websites.  Since then, after spending countless hours with various ISP and Apple techs, today an Apple tech came up with a solution. Basically, it requires my creating a new User/Account/Profile or some such thing.  We ran a test using a temporary user name and that user name was able to connect to the internet.  So, what Apple suggests is that I create a brand new User/Profile to use going forward.

That creates a problem for me though that involves Adobe software that I own/subscribe to (viz. Lightroom, Photoshop, etc.), as well as all of the other image processing software I have installed and enhanced over the years with presets, LUTs etc., etc., etc. (collectively, “Bells & Whistles”).

Although all my applications did transfer to the new User account/profile, none of the Bells & Whistles did.  All of that information, which is located in the Application Support folder of the old User/Profile did not transfer.

So how do you suggest I solve this problem  The Apple tech said he feared using time machine to reinstall stuff because it might install whatever cause the connectivity problem.  What do you think?

Alternatively, could I simply copy and paste the Application Support folder from the existing set up to an external drive, then copy the paste  the information to replace the corresponding Application Support Folder the new User/Profile?  If so, what else must I do?

If not, then what do I do?

In case you are wondering, I am communicating with you using a Windows-based machine I use for everyday work.