An additional insight.
After some time the driver seems failing reading data.
This leads to a process restart, but, after restarting, if it happens that the driver fails to load then weewx will go on, but in this case it is not even able to FTP update the pages and the images on the remote host.
Attached please find log 04 were it can be seen the problem.
It seems I have 3 problems:
1 - the driver sometimes fails to load and weewx stops updating
2 - the loaded values do not show up on the html pages not in value neither in the graphs (I don't know if the database is populated correctly, but it has previously)
3 - the driver sometimes fails to load values but, at least in this case the system restarts (but then hangs if it can't load the driver)
This is why it should happen that you find the homepage stuck on older timestamps.
Still puzzled...