hi Rebeccabee,
The triangle symbol indicates a missing or corrupted driver. You definitely need to fix that first.. I have attached a pic, thats how it should look on your system.
If you are having trouble, try this. Download all official drivers from the sony website. (the wifi will be 6250, the 6150 description on son'y website is wrong). - wifi , intel widi and download the latest wifi and widi drivers too from Intel's website (the wifi drivers include "my wifi" which is the green round icon you see).
goto device manager, remove wifi driver. then remove intel widi from programs/uninstall.
then reboot, and install sony's drivers first and then install the latest intel drivers over the sony's drivers.
reboot again.
note: with these VAIO laptops, the following are always required: Sony firmware extension parser, sony shared library, vaio smart network. This link will tell you more about reinstalling needed drivers on the vaio:
see if this helps.