I'm sorry to hear that you are having problems deleting library elements, you should be able to select elements in your library and see the actions on the top bar.
We currently have a bug identified where libraries with public links are not allowing users to select elements, the fix should roll out in the next week or two.
In the meantime you can either;
1) verify that your library doesn't have a public link
2) if it does have a link and you don't mind removing the link, do that and you should be able to select your elements again
3) If it does have a link, but you need to retain the link you can do the delete operation from the libraries panel in the application until we fix the bug.
I'm sorry to hear about your problems with out service, please try the steps in this HelpX page and let us know if it solved the issue.
Sorry to hear you are having issues with CC Libraries, please try the steps in this HelpX page and let us know if it solves the problems.
Refer to previous comment.
Creative Cloud Files in the Assets Website is a cloud storage solution and it will behave the same as gdrive.
A Library is a special type of Asset that behaves as a container where you can put elements such as the ones you described in your message.
Right now the Assets website only allows you to view your Libraries. If you want to create a Library you need to create it from an Application.
1.- Open an application
2.- Open the Libraries Panel
3.- In the drop down of Libraries you can select to create a new Library
4.- Open the folder with all your colors, icons, etc.
5.- Select the files and Drag/Drop them into the panel
6.- Share the Library with you team
This will allow you to access the content of a Library within the context of the application, and you will have the option to retain the linkage between the graphics you use and the graphics in your Library.
I hope this is helpful,
Right now Core Sync has a 5GB file limit, we are reviewing the support of files larger than 5GB.
In the meantime try to upload your files in smaller size groups.