Thank you for posting your logfile.
Not to worry, your logfile looks good. You had quite a few updates download on the 23rd, I'd assume that's the day you downloaded Spybot Portable.
After that, it was Spybot downloading the info file. These ones:
That is what happens when you check for updates and there are no updates available. Spybot downloads an update info file so it can tell if updates are needed or not.
Antispyware updates are usually released once a week on Wednesdays. You could just check for updates on that day if you like and you should get them all, that's what I usually do.