Simple internal calender

Dear all WordPress-users.

I’ve got a WordPress site running WordPress Access Control, so some sites can only be viewed by manually created users.
I’m using it as an intranet.

I’m looking for a simple calender plugin, where users can create and remove their own events – but all events should be viewable for all users. Users should not be able to create or remove other users events.
The events is actual room booking – that is why it should be so simple!

One thing is that I’ve disabled the wp-admin for all users, so the creation and removal of events should happen from the actual website.

I’ve tried almost all the free calendar plugins, but none of them fulfil such a simple request.

I’m willing to pay (a small amount) for such a plugin – but would of course prefer it to be free.

Can anyone help, please do so – as I’m kind of stuck and tried many many plugins…