To fix links very quickly on SERVER you could export entire site to local folder, do a global search and replace on your site folder and then upload. This will at least get your active site updated quickly. Of course, publishing (uploading) any page or pages will undo that/those page(s). Thus…
In RW, when you update pages, you just need to be sure the links in the upload have been updated manually. Just use the “right click” and “publish page” on your pages to upload single pages as you fix them.
BUT… an http redirect will EASILY make things work. Just do a web search for “redirect http to https” - Once you get all your RW links updated you can remove the redirect… but it doesn’t hurt anything to leave it.
If you have linked 3rd party services though (like a cart on another server), there may be an issue when using htaccess redirect from http to https. If you have off site services let me know.
As info… I used the “Export to local folder” feature and then Mac utilities to “search” the site folder for “http:” to find pages that needed to be fixed and to check my work. With a very large site (1500+ pages here) it’s about the only way you can be sure you’ve fixed every single link.