All of the errors that you posted relate to the Forms and List (User Defined Table) module which appears not to have installed completely and are not the errors being generated as a module is being installed. I would suggest (provided you can access and log into your site as host user), that you:
 

1. Go to Host-->Extensions and uninstall Form and List (User Defined Table) module, Gallery module and Events module and any others which you installed since the original DotNetNuke installation. Note that if you have created any content using a module that you uninstall, that content will be lost.
2. Next, go to Admin-->Event Viewer and click on the "Clear Log" button to clear all entries from the Event Log.
3. Test out your site a bit, particularly checking if functions in the Admin and Host menus can be accessed without error.
4. Recheck the Event Viewer and make a note of or copy and paste to a Notebook or other word processor page all of the errors you see.
5. Clear the Event Log again.
6. Try installing the Events module v 5.01.04 again using the Install Extension Wizard link, not the Install Available Extensions. Note any errors you see during install of the module.
7. Recheck the Event viewer and note any events related to installing the Events module.
8. Let us know what you find.

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Bill, WESNet Designs
Team Lead - DotNetNuke Gallery Module Project (Not Actively Being Developed)
Extensions Forge Projects . . .
Current: UserExport, ContentDeJour, ePrayer, DNN NewsTicker, By Invitation
Coming Soon: FRBO-For Rent By Owner