The first stable release of the 1.4 series was 1.4.2 and was released on November 24th. The latest release is 1.4.3 and was released on December 27th. I think you downloaded the beta version and that might be related to this issue since your theme is set to be "core", not "classic". I'll have to go find a beta release to figure out what the "core" theme is; I haven't heard of it, but I'm a new dev team member so it might have been "before my time".
Looking at your screencap (thanks for posting it), you'll see a small table, just above the text "check all", "uncheck all". This table shows "name = theme", "value = core". As I said above, your theme is set to "core", what I don't recognize. The current default simple theme is "classic". The "classic" theme is dirt-simple as I said, and doesn't include any customizations so the errors mentioned above are not possible with the "classic" theme.
You could try a quick fix of changing that config value in phpMyAdmin to "classic", but I don't think this is a good fix. I think you are going to have lots of other issues due to having an outdated version.
The best thing to do would be to download 1.4.3 using the Downloads link at the top of this page. Then install 1.4.3 in the same folder as an *upgrade* installation, following the directions in the docs (linked at the top of the page as well) for upgrading. This will overwrite the files with pristine versions of the latest release. Your database will be updated, and you won't lose any of your files or settings if you follow the upgrade instructions. I assume the upgrade will change the theme to "classic".