Two rectangles are similar if corresponding angles are equal and the corresponding sides are proportional.
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No, not all rectangles are similar because the proportions are different.
I can give the width of one of the rectangles. The first rectangle of area 15 cm2 and length of 5 cm has width of 3 cm. It is impossible to know the width of the other rectangle of area 60 cm2. However, if you had said that the two rectangles were similar, then the dimensions of the second rectangle would be 10 cm X 6 cm. But you didn't say that the two rectangles were similar; so there are infinite possibilities of what the dimensions of the second rectangle might be.
yes all golden rectangles are simalar as well as their ratios
You need 4 rectangles and two squares * * * * * No, you do not need to have squares: there can be six rectangles - as in a brick shape.
yes