Thank you for the new movie.
It looks like the output relays K4, K3_1 and K3_2 are not switching.
Probably Q2 has gone.
Please measure the voltage on the gate of Q2 versus ground (the connection on the bottom of the PCB which connects the gate of Q2 to R3 and R4).
With battery on you should measure around 5V and 0V with battery off.
If so it means that Q2 is broken and you can replace it.
Otherwise, if you measure always 0V, the micro has gone.