Should applicants send an email to check the status of their faculty application? After sending a faculty application online, should the applicant send an email to check if all documents were received and whether the application is complete or not? Some suggest to send an email, while others suggest not to, since sending unnecessary email to the committee could raise a flag.
Assuming that you submitted your application to the human resources office of the university, then it would be appropriate to check with them to make sure that the application was received and was considered to be complete.  I would not send a query to faculty members of the search committee (if you could even figure out which faculty were on the search committee.)