link to site please.
the errors you are posting above have nothing at all to do with what you are writing about and i suspect there are a LOT more entries in your debug.log

(though you might want to fix your server setup which is clearly messed up with missing or outdated extensions)

please , don’t post this whole debug stuff here (especially without putting it in code tags.
just give me a link to the debug.log .
make it private if you want

what version of mysql are you running

assuming that the mysql version is the issue and you have updated it , the table/column does not magically create itself.

to do that, do either of the following:
if there is a newer version of wppiza avilable, just update and it should create that column

if there is no newer wppizza version yet, do the following (for the purpose of this example i assume your current wppizza version is 2.15.0.10):

– de-activate wppizza
– open wppizza/wppizza.php
– on approx line 8 you will find Version: 2.15.0.10 change this to Version: 2.15.0.10.1
– on approx line 39 you will find define('WPPIZZA_VERSION', '2.15.0.10'); change this to define('WPPIZZA_VERSION', '2.15.0.10.1');
– save the file
– go to your plugins page and reactivate the plugin. as the version number is now higher than what there was, it will check the table structure again and update what needs updating

that should be it (i assume here that you know how to safely edit php files)

do you have something like phpmyadmin though (or any other means of editing mysql tables) ?

if you do you could alter the table like so

ALTER TABLE 'wp_wppizza_orders' ADD COLUMN 'user_data' TEXT NULL AFTER 'notes';

where wp_wppizza_orders should of course be the table name for your install
(i would make a backup first though)

this will not of course add multibyte support (actually even WP itself uses utf8mb4 now as of April 2015), but it should at least allow you to add to that table again (i.e save orders)

good stuff

(i’d still ask your host to update mysql though…!)