Como é que se diz isto em Inglês (RU)? When to write "into" or 'onto". I also see the word "unto". Can someone explain me this please?

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Unto is archaic and you will only see it in older texts or in set phrases such "render unto Caesar that which is Caesar's".
Into is used to clarify that you are going from outside to inside and are not already inside something. I walked in the woods doesn't tell you that you weren't already in the woods, whereas I walked into the woods clearly shows you weren't inside the woods at the start. The same with onto. I jumped onto the trampoline means you weren't already on the trampoline, but I jumped on the trampoline could mean you were already on it.