print module doesn't work correctly ( or I am doing something wrong?)

Maybe I can give some explanations-

"but when I change layout style to second or third option:   - the main screen shows only blank paper"

That is as expected. In 'Picture Package' You have to design the layout by adding Cells to the page. One selected photo on the filmstrip will automatically fill all cells on the one page. Several selected photos will create several pages of 'Picture Package' with each photo filling all the cells on each page. Typical of School Student packages.

A blank page is also to be expectd in the third Option. 'Custom Package' Is also for you to add cells and drag photos onto those cells. This is basically a 'one page' design, although the more cells you add you will eventually create more pages- each with the cells custom placed. Again you have to drag photos onto the cells. Useful for creating Collages.

'SIngle Image Contact Sheet' is the only layout that autofills the selected photos.

'SIngle Image Contact Sheet' and 'Picture Package' are the only two layouts that allow multiple pages that you can scroll through with the arrows on the Tool Bar. (Show Tool Bar by [T]  )

Dragging photos from the filmstrip onto cells must be dragged from the image thumbnail, and not the grey border around each thumbnail.

There are page templates provided by Adobe but these are all designed for 'Letter' sized paper. You should design your own paper page size and layouts and save as your own templates.