Hello, I created a shape and want to fill this. What I get is in the picture attached. please tell me how can I correct it?

Maybe this:

More here:

http://tavmjong.free.fr/INKSCAPE/MANUAL/html/Paths.html

Thank you for your reply. Now I want to fill the area between points A, B, C and D. Then I have to remove half the curve which is on the left side of the dotted line. Please explain how to do it?  

I would review the Tutorials in Inkscape's Help menu.

Then, maybe this:

I tried to do exactly same steps but couldn't cut half the curve. Also, I want to remove the line between point A and B and C and D and kine between A and D should be dotted. 

To remove the lines from object ABCD, remove the stroke. http://tavmjong.free.fr/INKSCAPE/MANUAL/html/Attributes-Fill-Stroke.html

To remove half of the parabola, select the duplicated vertical line AND the parabola. http://tavmjong.free.fr/INKSCAPE/MANUAL/html/Paths-Combining.html

Hello, I tried to fill the area between points ABCD of the attached picture. The method I have done is explained in the video but it is not correct. Can you please tell me how it should be done? 

The video is here.

After establishing the shape+fill send it backwards behind the strokes.

I did but still, it is visible. 

What is still visible? I don´t get what´s wrong with it or how it should look instead?

I do not need the part that I mentioned in the picture. I only need to colour the part between points ABCD.

Like so?