I need to work with the android-support-v4, buy when i try to install it from SDK manager (support library), it does not show me the package, actually i wanted to install another API level, but i can not either, because the sdk manager does not show me any other API than the ones i have already installed. Here is an image of the SDK manager:
How can i show everything i need? (i already tryied with the obsolete option).
You're asking the wrong question.
Right-click on your project.
Android Tools > Add Support Libraries...
(a progress bar will appear, and voila it should download what you need)
By the way, you should really install the latest android-sdk update. From your screenshot, it doesn't look like you have yet.