Help Trobleshooting my first solderless circuit on a breadboard
I see a problem with the power supply.
Pin 1 (green dot in my image) should be connected to ground, but you have the red wire connected to it which is the + pole of the battery. This means that C1 and R4 are also connected to + instead of -.

R1 and R3 should be connected to the positive pole but they are not, one is floating (not connected) and the other one connected to the ground.

Also pins 4 and 8 (red dots in my image) should be connected to the positive supply, in your image they are both floating (not connected).



To fix:
(first disconnect the battery and then)


Move the resistor wire shown with the blue arrow one position to the left (to the positive rail)
Connect the black wire of the battery to the rail shown by the green arrow (where the capacitor,yellow jumper and a resistor are connected).
Connect pins 4 and 8 to the rail shown by the red arrow.
Connect the red wire to the rail shows by the red arrow (where the two resistors should be connected).