Pastebin.com works by clicking on the 'Paste my log to pastebin.com' button. It should create a link at the bottom of the console. Post that link it provides. If that does not work then we know it is an issue with the launcher not being able to connect not just the
minecraft servers being down for you.
Where are you trying to install the launcher and download the mod packs? If it is anywhere besides a folder on your desktop I suggest following this
guide to do it. If after doing that you are still experiencing problems please post a new console log. If the log will not post then please copy it yourself so you do not create long posts. Look
here so your log does not get deleted.