You asked about a "log for Zen Cart so we could see all visitors who were on the store for the day to track where they came from". No, Zen Cart doesn't log the details of every visitor. Zen Cart is not a website statistics application. It's ecommerce software. If you want statistics on every hit that visited your site, use your hosting company's tools such as awstats or analog or whatever they offer ... maybe even the raw access logs that the server generates.

If you want to add some logging for actual shopping activity, there's a user-tracking addon in the addons area that one could try. But if you don't even know how your software operates on your website, I suspect you'll have trouble installing the addon without some assistance. Again, it's designed to track shopping activity, not necessarily "every visitor" (if I recall correctly).

If you're concerned about visitors attempting to do rogue things on your site and just want to minimize traffic from wannabe hacker script kiddies, you can follow the tip posted here: https://www.zen-cart.com/tutorials/index.php?article=320 NOTE: This requires editing Zen Cart files, which affects upgrades.


I've given you advice on checking your site to see whether there is any unexpected content on it that might be a reason for people to intentionally visit it.
I've given you recommendations on researching the websites from which several visitors have attempted to visit your site.

What has been the result of those?