Pickysaurus

You probably removed the appdata folder containing all Vortex's metadata. See this help article for the details on which files and folder need to be move when relocating Vortex: https://modding.wiki/en/vortex/users/migrating-to-a-new-pc

If the downloads don't even start in Vortex (or manually) you should see this page: https://help.nexusmods.com/article/113-troubleshooting-website-issues

As the error says, it's looking for a file with the name in the error, but you have a folder with that name instead (somehow?). Delete the folder at that path and it should fix the issue. 

Reinstalling Vortex will just repair your install of the mod manager, it won't change your mods. 

This isn't really related to Vortex (unless you download direct via the browser and not via Vortex). Please see this guide for help: https://help.nexusmods.com/article/92-im-having-download-issues-what-can-i-do

The solution for this issue is documented here: 
 

The extension developer needs to fix that. They have put 1.1 which is invalid. They need to change it to 1.1.0 

Try installing it again. It looks like your anti-virus probably deleted the EXE file, so you may need to turn that off or add an exception for Vortex. 

It seems the community developer who created support for that game has removed or hidden their page. I'll remove it from the supported list now. 

Hmm, do you have the Hogwarts extension installed twice? Or any other UE games? 

This page from the built in documentation should help https://modding.wiki/en/vortex/users/migrating-to-a-new-pc

Go to "Open" -> "Open Mod Staging Folder" on the toolbar and delete the folder for that mod. Then restart Vortex. If it's stuck like that it usually means you (or something on your PC) violently interrupted an install process - something like pulling the power cable out of the PC while Vortex is installing something. 

Sounds like you've locked your Skyrim folder behind admin permissions. 
 
Try these steps https://support.microsoft.com/en-gb/topic/-access-denied-or-other-errors-when-you-access-or-work-with-files-and-folders-in-windows-219af563-1953-ab4a-f17e-b0182755214e

Please check this solution from the pinned posts: 
 

Replicate does not include new files (I'm fairly sure the documentation says this). You will want to copy all your configs into a new mod in Vortex and then bundle that with the collection.
It's a bit of a pain but it's the best way to ensure they are included. 

You can follow the prompt to disable the mods that are not deploying any files and this message will go away. 

Darksiders 3 is not supported by Vortex, so it won't appear in the games list. You'll have to download those mods manually and install them as per the author's instructions. 

It's almost certainly a network error. Possibly caused by security apps on your PC. Restarting Vortex should reset things back to normal. 

It sounds like you tried to move Vortex's files while the app was open (which would explain the state you're in). 
 
There is a solution in the pinned comments: 
 
 

Not sure if you're the same user as I spoke to on Discord, but this is likely a corrupted Fallout4Custom.ini, delete the file and restart Vortex. 

You should comment on the Collection page for help with this. Here's a link: https://next.nexusmods.com/starfield/collections/npk3lv?tab=comments

This usually means your PC is blocking Vortex from talking to GitHub. You can manually get game extensions here: https://www.nexusmods.com/site/mods/categories/4/
 
However, Cyberpunk should always appear, so this implies something is borked in your setup. Go to "Extensions", click "Show bundled" and see if the Cyberpunk one is disabled. If it is, enable it. 

This appears to be a fault with the Elder Scrolls Online extension. 
 
To get around it you can go to %appdata%\Vortex\Plugins and delete the ESO extension folder. 

You can always unlist your collection. It is not possible to fully remove it. 

The master list message usually occurs when something on your PC prevents Vortex from talking to GitHub. Check your firewall/anti-virus settings. 
As for the deployment problem. Check the notifications in Vortex for advice on how to fix the issue. I suspect you've got the game and mod staging folder on different hard drives.