URL troubleshooting

Hi, I have a problem with my urls for my website.
For example, when I click a post, it takes me somewhere else in the website, because the url is also used by another page. I some pages simply seem to steal the urls of some posts. This happends with the homepage and another page. For example when I try to edit my homepage, It has the url of a post. I try to modify it, but after a couple of minutes the homepage steals the url of another post. And so on….

Example: This Url: http://himalayatravel.ro/tabara-din-vacanta-de-paste/ ‎

….belongs to a post. But it points to the homepage. And When I try to edit the homepage, the url is indeed this one. But I see this only in the editing mode. In the browser the url is correct – http://himalayatravel.ro

Do you have any idea how could I manage the situation?