Oh - As with any engine proper warm up and cool down after a hard run is also very important....times vary depending on the weather and load on the engine.....I would not recommend full throttle on a cold engine...
Definitely- Two strokes are subject to "cold seizure" which is what happens when one tries to run a two stroke to hard too soon. The piston scuffs the cylinder wall due to the difference in piston/cylinder wall clearances and that's not a good thing.
De carbon the muffler, and crown of the piston on occasion. You can tell when it's time if you pull the exhaust off and look in the port.
DO NOT run for long downhill periods with the throttle completely closed! These engines are lubed by the oil in the fuel, and closing the throttle for long periods, especially at high speeds tends to starve them of oil. It's a good thing on a long downhill run to partially open the throttle for a few seconds.
Don't run one lean (leaking intake) too long, or you will kill it faster than a gun that shoots backwards.