I have some good news for you, your database is not corrupt. Both errors you are seeing are PHP functions that are being re-declared. This means that there are two of the same scripts being included. Download the site to a separate directory (for reading purposes only) then use a text search program (such at notepad++'s search feature or Agent Ransack) and scan for those function names. That will find you your duplicates and hopefully will give a pattern so you can see how this happened.

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