Disabling fields can be done on the admin section under each submenus (resumes, jobs, companies)
One error I found was "degree title" is missing from the fields list! Weird, so I just commented out the relating php section in
wp-content/themes/job-manager/js-jobs/job-viewjob.php line 208
/*echo getDataRow(esc_html__('Degree title', 'job-manager'), __($data->degreetitle ,"job-manager"));*/
not so nice, and updates may mess this up but works
As for the cities I think I'll create a custom csv and import rather than pay for a database that might not even be perfect.
I am in contact with the developers through tickets and they do keep fixing things, though their response time is somewhat slow to say the least.