Mac default apps won't open

I have a Macbook Pro, Retina, 13-inch, Mid 2014 and the software is: OS X 10.9.5 (13F34).

For the past few months, I've been having a problem with opening any default Mac OS applications such as preview, the appstore, photobooth, textedit, terminal.

A few work fine such as safari, itunes, iphoto and the softwares which I downloaded. But everything else just doesn't open, it doesn't even try to bounce on the dock, a small dot appears and disappears in the same moment whenever I try to open them. I've ignored the problem because I didn't need most of the apps and I couldn't leave my laptop to get fixed somewhere as I had finals I needed to do on my laptop. Right now I was trying to update to Yosemite but since the app store won't even open i'm unable to. Please help?

MacBook Pro with Retina display, OS X Mavericks (10.9.5)

Mac OS x apps won't launch