Can anyone recommend a module for a contact form to submit to the administrator (so the administrator can view/read it)?
Users should be able to anonymously submit messages; they should not first log in, or create an account.
You should use the Webform module.
Webform is the module for making surveys in Drupal. After a submission, users may be sent an e-mail "receipt" as well as sending a notification to administrators. Results can be exported into Excel or other spreadsheet applications. Webform also provides some basic statistical review and has and extensive API for expanding its features.