Well I´ve given up on trying to get Awstats working on 1and1 since the bloody thing went and killed my server. I got in on Monday morning and all the sites were down with the old "CGI limits reached, please try again later", which usually means something is gobbling up all the memory.
Since I couldn´t do anything as even ssh access was just throwing up errors, I got on to 1and1 support and asked them to find out what the hell was going on. After a couple of minutes on hold the tech guy managed to find out that it was Awstats that wasn´t terminating its threads and so eating up the memory.
The tech guy killed all the processes for me and I could then get in and remove Awstats. Since it wasn´t doing what I needed anyway I couldn´t be bothered to go in and try and fix it so getting rid was the best option. That just leaves job number 4,698 for this week: write my own weblog software.