I have got two new icons on the dock, which I don't want to be there. Right click, there is no under options-remove from dock, and hide command doesn't work. What else can I do, to get rid of them?

Well , first off, what are the two icons? What does it say when you roll over them? [Hard to guess why they're there without knowing what they are..] Normally, to remove an icon from the dock you just drag it out of the dock and hold it for a second until it disappears with an animated poof. Unless the icons are programs that are currently open and running, that should work..

The two icons are music and textedit. The last one is also in finder under icloud. I dragged it out of dock and held some seconds but it didn't disappear to anywhere. Then I dragged it on to the bin and so get rid of it. Also in finder it doesn't exist anymore. And with music, I held a mouse on it and only then appeared an option remove from dock. Thank you for your help!