Okay we are getting there. Not sure if you have installed the Broadcom STA Driver. As stated in a previous post I cannot see any drivers listed.
Here is what I would like you to do.
If the system requires a reboot do not, it can wait a few minutes until we have finished. Warning - in some cases rebooting now can remove the wired capability as well.
sudo apt-get remove bcmwl-kernel-source
After this has installed wait for about 2 minutes and check if there is any wireless networks available. If none show up then two more terminal commands
sudo apt-get install linux-firmware-nonfree
any joy now?
sudo rmmod ssl
sudo modprobe b43