The log you provided seems to indicate that you're in a stationary mode.
OK, I tried a few more things.
Disabled stop detection, then I don't see the three states on main screen as described here: https://www.traccar.org/client-configuration/
Tried also to use heartbeat, still nothing. What I see is that when I hit the continuous tracking, it immediately cuts off while the button is still in the ON state. I will see the notification about continuous tracking but then it immediately disappears.
(By the way, I was getting "Too many requests" from your web, so unable to respond immediately).
Have you actually tried to take the device for a ride or something to see what happens?
The switch is still green, shows that it supposed to be running.