You cannot predict the initial state of the counter.
You must make a reset circuit that brings the counter to a known state at powerup.
Replace U8A with a NOR gate with one pin to an RC reset circuit or you can use a spare OR gate with U8A to make a NOR gate:
simulate this circuit – Schematic created using CircuitLab
On powerup the capacitor will drag the second input to "1" for a short time forcing a a counter load. This will make the counter start from 5.
From the additional comment I understand that the technology used is really LS which has an 1 mA input current, I thought it was just the schematic.
A fix is to use a negative reset like this:
simulate this circuit
R can be higher that 2k2 since the input high current is of uA order and also the capacitor if the reset does not work properly