We don't break out the TE (tearing effect line) because we use these with small microcontrollers, but if you do need to synchronize you can solder to the TE pad on the TFT using fine silicone wire. (See this forum thread)
The display driver circuit needs a small amount of time to be ready after initial power. If your code tries to write to the display too soon, it may not be ready. It will work on reset since that typically does not cycle power. If you are having this issue, try adding a small amount of delay before trying to write to the display.
In Arduino, use delay() to add a few milliseconds before calling tft.begin(). Adjust the amount of delay as needed to see how little you can get away with for your specific setup.