The schematic is poorly drawn and very difficult to follow.
1. Redraw the schematic with the three counter ICs in a row, with the most significant digit on the left and least significant on the right. Position each display above its counter. In this way, the displays read normally and it is much easier to follow the logic flow from one part to the next.
2. You have several unused inputs that are floating (not connected to anything). This will not work. Those inputs can change randomly due to electrical noise. Make sure all unused inputs are terminated correctly for the logic you are designing.
3. Add a reference designator to each component. Without them, it is impossible to discuss errors at specific IC pins. Use U1, U2, etc. for the ICs and X1, X2, etc. for the displays.
4. Use more direct wiring paths and eliminate unnecessary jogs, corners, and steps in the connection lines.
5. Never have a signal line cross over a component body.
6. Power symbols point upwards. Ground symbols point downwards.
To your specific question - you do not have enough gating to detect the reset value. Even with "lazy gating" you need at least 4 bit inputs, and your schematic shows only a single 2-input gate.
ak