I tried to test this case. But I failed to repeat this.
After reboot, the router started sending AVL data as soon as it received the FIX location coordinates. In my case, it happened in 1min. after reboot because the antenna is mounted outside and it has good satellite reach.
When the NTP is set to UTC time, it is this time that is transmitted as a timestamp in the AVL data too. I didn't change anything extra here, leave the default NTP general and server hostnames:
So, try specifying the time zone - UTC in the Services > NTP > General settings page and double check is the fix location set (Services > GPS > MAP page) after reboot, before you get any AVL data.
For the additional functionality in the RutOS settings, you should contact the region Teltonika Sales Manager. It will help start the custom development process if needed.