Something to consider with your solderless breadboard is the power rails. Are they continuous on each side? I see your jumper side to side but does each rail extend the full side of the board? Just as an example:
View attachment 140794
Note how the red and blue power rails extend the full length of the board. Some boards have breaks in between the sections.
Next for future plan you may want to consider one of these which make for simple because they come assembled including the I2C interface ready for use. Vcc and GND plus SCL and SDA only 4 lines to your uC.
Assuming yours has power and your code includes the LCD Backlight it should at least light. The last two pins A and K, or anode and cathode are for the LED back light. You may want to
give this a read and try their code sample just to see if your display shows forms of life. Again make sure the LCD is getting power.
Ron