So you haven’t upgraded WordPress in almost 4 years? Are you aware of the risks you were running? A site running anything other than the latest version of WordPress has a far greater risk of being hacked – thus placing every other site on the same server at risk.
Plus, you can no longer update in a single step. You’ll have to carry out a smaller number of manual upgrades following the route suggested in Upgrading_WordPress_Extended.
For now, try:
– switching to the default theme by renaming your current theme’s folder inside wp-content/themes and adding “-old” to the end of the folder name using FTP or whatever file management application your host provides.
– resetting the plugins folder by FTP or phpMyAdmin.