belivelife:
I think I will try to buy a new arduino board only to check it, Is this a good decision?,
No, it isn't. Arduino is fine. Your picture #1 proves that. When you connect bluetooth all you are doing is changing one serial device for another, no change to Arduino and the software is the same. The only problem can be either
- the Bluetooth
- the wiring
- the procedure.
OR somehting dodgy at the other end. You might try a different PC or an Android phone. An Android is usually easier to connect than a PC.