Pictures are getting bigger than my view area

hmm, can you then send me site url so I inspect source

It looks ok in front-end, if boxes dont stand correctly that is not so important, it is important you set values above correctly, and you can do that by hand. Values are form 0 to 1, representing ratio to component size.

Do you mean here?

Anim. From(x,y,zoom):
Anim. To(x,y,zoom):

The zoom values are both greater than 1. It I put it smaller that 1 by hand, the slideshow doesn't show my hole picture and the size of the slideshows goes still bigger

Are there special requirements for the size of my pictures?

Another point is, that I wrote 580x190 as View Area Width and Height on my "HOT Zoomer Settings" AND as settings to each picture-URL. Is this correct?

Yes that is correct
Anim. From(x,y,zoom):
Anim. To(x,y,zoom):

what you set for width/height will be used for zoom 1

Every time I put under

Anim.From
or
Anim.To

a greater value than 1 as zoomfacor my picture and my hole slideshow is going bigger and over my content text.

Can I put some html code to define a fixed size to the slideshow?!

You can set fixed width to the DIV that contains the Hot Zoomer module. You can use CSS parameters:

width: 200px;
overflow: hidden

Thanks