Hi Rich
Suggest you check out wordpress.org for support. Here’s a link to a similar issue from another WordPress user. Possible something here can help you.
http://wordpress.org/support/topic/database-update-required-after-updated-to-wordpress-35
They also have info on installing or returning to previous versions.
It’s a great reminder for all of us to make sure to back up all wordpress files and database “before” doing an update.
Here are some things that might be useful if the info at wordpress.org doesn’t help:
check to see if you can see your wordpress file structure via ftp.
try renaming your “plugin” directory to something other than “plugin” and then try accessing your wp-admin logon. If this works, you have a corrupted plugin
If all else fails, download the latest copy of wordpress from wordpress.org and upload it via ftp to your site.
contact your hosting company and ask if they have a back-up of your database (do this soon as they usually role over backups on a regular base. If you can get a copy of your database, Source the previous copy of WordPress you know worked and copy files to your server – then install you database on your server via SQL Admin
Not for the faint of heart, but there may be light in there some where. Hopefully some of this info helps out.
Good luck!
Ron