Looking for Scheduler Plugin

Hello Everyone,

I’m looking for a plugin that has the following qualities, or at least roughly.

1. It displays a public calendar of either a week, 2 weeks, or even month long on a page.
2. Visitors can select “x” and “y” from a list to “schedule” on a particular day.
3. Those selected items (x, y) would be displayed on the public calendar for all to see.

Sounds simple enough, any ideas on such a plugin? Thanks!