Magento Errors SQLSTATE[42S01]: 1050 Table 'core_resource' a

This requires magento expert. We have two year old magento installation that is highly customized and should not be upgraded or it will break modified custom code. However, we have just upgraded our server environment and moved our Magento installation to the new server. It has now failed to start. The database is not corrupt and has been verified. We even dumped and restored the database and then checked it for corruption. We have cleared the var/cache and other var directories. We have checked the settings in [login to view URL] but are still unsure of why it is failing. You can see the page of errors that we are getting if you go to [login to view URL] It appears as though Magento is attempting to do a fresh install but is finding the tables already exist and fails. Of course we do not want it to attempt a fresh install anyway. We need a Magento expert who understands the relationship with MySql. Someone who has seen these errors before and will understand better how to tackle the problem. Sincerely, Jay CompuMatter