I also changed the encoding of my browser an it remains the same
The encoding in your browser should be UTF8.
Entering tekst has nothing to do with choosing a Greek font to use. You have to make sure you are producing UTF8 when typing in Moodle.
May be read http://www.joelonsoftware.com/articles/Unicode.html for better understanding your problem and solution.
Languages
Language Encoding Problem with Greek
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