I also suggested that it should not be the heads, in fact they look quite good. I cleaned once again all the interior parts that i could access without disassembling the deck and tried to calibrate bias, level and equalizer according to the manual. Bias and level calibration worked well, i was not able to calibrate equalizer. I have no test type. I don't know what precisely helped but the deck now works almost well. Sometimes I need to stop and play again and mids and highs return. Even though it is not functioning 100%, i can already hear a superior type of reproduction it gives. In fact, it is difficult for me to say whether I like more a CD or cassette reproduction with this deck, CD is cleaner but the cassettes give somewhat more analog realist sound. Given this and that this is one of the most good looking (if not the most good looking) decks, i decided to keep it.
@garryfreeman , thanks for your post. I have now a better idea what things need be arranged.