I have rented a host from LFS.net and wish to have integrated live stream possibility.

not possible, servers most of the time do not have a GPU. The cargame server has one but it's running out of capacity when one instance would use it. So if you would like to have a server with your own GPU then you need to bring a lot more money to the table.

Also the audio is a problem, most servers have no audio chip. And if so, only one customer can use it.

Understood...so I keep on dreaming

.. Sorry