For the first time, I cannot seem to install a new version of Unreal. When I click the “Install” button in the epic Launcher, nothing happens. I currently have 5.4.4 and 5.6.1 installed.
There could be an issue with your Epic Launcher, I would suggest a reinstall. And if the issue persists even after that, then the next step would be a full uninstall/reinstall of all Epic software from your setup:
First, uninstall the engine, launcher, any asset packs, etc
Next, open the registry directory HKEY_CURRENT_USER\Software\Epic Games\Unreal Engine\Builds, and delete any build entries
Finally, delete the folders %userprofile%\AppData\Local\UnrealEngine and %userprofile%\AppData\Local\UnrealHeaderTool
After that, no elements related to UE should be left in your system
Now, reinstall UE launcher from scratch, and only add the latest version of the engine (in this case, 5.7, you can add older versions after)
After the process is complete, test opening a blank project in 5.7