These are all good suggestions. Thanks.
What I forgot to say (sorry for that) is that this installation is acting as a gateway in a private home. There are only a couple of clients and I have pretty much control over what they are doing.
This night (since my previous post) none of the machines have been active and still the internet speed this morning has dropped to 600/65

Ok - so no activity on the internal side (even going outside to the internet). But there could be activity on the external side trying to get in, using the webserver (great with some visitors) or maybe even the server being compromised and used for something else.
Anyone got ideas how to proceed?