Why you don't let the steam update to finish the update progress ????
Actually steam would download your game only the first time you bought it. Beside that it could be an game update or steam update as well...
-----------------------------------as for the resolution:
In your [C:\Users\Your name\Documents\My Games\Skyrim] folder open the SkyrimPrefs.ini
-----------------------------and:
There will be an entry under [Display] (without quotes) "iSize W=XXXX" and "iSize H=YYYY"
Replace the XXXX with your desired screen width (i.e. 1920) and the YYYY with your desired screen height (i.e. 1080)
Also make sure "bFull Screen=1" is present. If it reads "bFull Screen=0" change it to "bFull Screen=1"
Then save the file.
Try not to launch via steam, as it could reset your resolution settings....
------------------------ steam version:
Start/load a game, press ESC to bring up the system menu, and it's there near the bottom left hand corner.
something like that: http://i.stack.imgur.com/sB88L.jpg
The current version is: Version 1.9.32.0.8