hello, buy a cloud core router ccr1036 and when turned all the lights do not light, it is normal???? the router seems fine, probe and it works but I am intrigued with lights.

You have to plugin a device to one of the ports.
At least the CSR is that way.

Now during boot up all of my lights do turn on.

You have the blue light and the LCD screen on

And the lights on the network connectors do exactly what they are meant to do: show you the status of the interface.
Nothing connected->interface not in use->no lights.

is normal that when I connect to the newly electricity turn leds disorderly? as shown in the video?

Yes, it is the reset of the router driving the LEDs at startup until initialization of all the I/O ports.
A lot of routers/switches do that. Don't worry about it.

thank you all for your help!
regards.