Seeking plugin to run course search tool

I’m looking for an easy way to build a course (lecture, class, etc.) database search tool for a web site built on WordPress.

I have around 200 courses that I need to compile in one place and make easily searchable by my web site users. A typical course listing or record consists of the course name, date(s), location, course description, contact name, contact e-mail, contact phone … the usual stuff.

Need an easy way to enter that info, edit (delete/add) new records and to then create a search screen for my users to then access the data.

In addition to the above, I would love to also have a form where my web site users could submit a course that I can then approve (or edit) and then easily add to the database.

Thank you in advance for any suggestions or advice.

J.R.