I'm trying to install updates via the Update Manager, and I got this error:

The Package system is broken Check if you are using third party
repositories. if so disable them, since they are a common source of
problems. Furthermore run the following command in a Terminal: apt-get
install -f

When I run apt-get install -f, I get:

E: could not open lock file /var/lib/dpkg/lock - open (13: Permission Denied   E: Unable to lock administration directory (/var/lib/dpkg/), are you root?    

What is wrong? How do I fix it? Why does this happen?

EDIT:

This is what i get when i do sudo apt-get install -f

[1] https://www.dropbox.com/s/tzr0s8278pbe9sm/2012-07-03%2019.34.07.jpg

[2] https://www.dropbox.com/s/xmllkxvpa3weg33/2012-07-03%2019.34.52.jpg

[3] https://www.dropbox.com/s/n799fxp3iv44cd4/2012-07-03%2019.35.09.jpg

Picture are in the correct order. too much info for one picture so had to break it into 3 but all of the information is in there.