The wiring in the latest photo looks OK but the soldering of the pins on the sensor looks a bit scruffy and needs checking. It would also be a good idea to check continuity of all four connections between the Nano and the sensor to eliminate possible problems with the jumpers, which are quite common, and the breadboard, which are also not unknown. Is there an LED on the sensor board and if so, does it light up ?
Have you got any female to female jumpers so that the breadboard could be eliminated from the circuit ?
Until an I2C scanner can find the board there is no point in trying to read from the sensor