Hi,
you mentioned that until last week everything was fine and without upgrades nothing can be added ( i.e fix this problem) this leads me to believe its probably an upgrade issue, WordPress 4.0 was just released.
Firstly i would deactivate all your plugins and see if that helps, if not then you might have a server side issue and it might help to contact your website hosting provider, if WordPress works fine after deactivating all plugins then its probably an update issue. After backing everything up, then i would go ahead and update everything, because your WordPress will be more secure and probably work better if you update.
Before you do anything I would suggest backing up your database, and wordpress files, and then i would update all your plugins and also update wordpress to WordPress 4.0, because on Thursday the 4th this week there was an update from 3.9.1 to 4.0.
If you are using any plugins that connect to an API such as Facebook or Twitter, then there could be some kind of conflict since WordPress and a lot of plugins have been updated in the last week. So what im saying is, even if you haven’t updated, all of this update business will still affect you, because your software is now out of date and may not be able to communicate with services that are expecting your WordPress and plugins to be udpated, deactivating plugins will help narrow this down.
Let us know how you go, with more info we can find a more specific answer ??