A P-51 has a reasonable chance of taking down a 262, they weren't particularly tough or armored aircraft.
That is wrong, they actually even had self-sealing fuel tanks already. Not overly tough. But even better than some propeller fighters.
I'd bet on an experienced, well-trained P-51 pilot over some Hitler Youth draftee with a couple hours of flight time any day.
Sure, but that never happened. You had very unexperienced pilots on the older planes, but the Me 262 was used by veterans and test pilots. The HY was scheduled to fly much simpler cheaper planes, that never became expensive enough to actually fly (The Volksjäger program)
Many Me 262 veterans actually later helped rebuilding the German airforce for the NATO, Steinfeld for exampled managed to tame the Starfighter in the German role (which was not what the Starfighter had been designed for).
With that much speed, it's easy to overshoot and land square in the other guy's gunsights. Also, the 262s were at a disadvantage if the could be drawn into a low-speed dogfight, as they suffered from poor low-speed maneuverability and a tendency for the engines to flame out under dogfight maneuvers.
Yes, and that is where the few combat losses happened. But the Me 262 pilots learned quickly as well. They paid much more attention on energy and really used the advantage of their jet engines: During a turn, the really low drag Me 262 did not loose speed and energy as fast as a propeller fighter. They could not out-turn the P-51 by curve radius, but they had the ability to turn the P-51 into a lame duck without becoming slow themselves.
Of course, they were extremely difficult to fight in the hands of proper pilots who developed appropriate tactics. The US response to that, naturally, was to keep them from getting off the ground in the first place.
Exactly. And you had quite many Me 262 aces in the few years with really bad conditions for the Germans. Also the short range of the Me 262 was a problem, since you needed to land and refuel pretty soon. But even with just average pilots, you already had a very dangerous opponent there.
It is still very doubtful to kill a Me 262 by doing a tail slide. Unless you are so lucky to find one below you right when it happened and without you getting shot down while being completely helpless for seconds.
And trying to evade a P-51 by doing a tail slide is also pretty stupid. When it attacks you from behind, you will only notice it when it already fires at you. Not really the right time. If you notice the Me 262 earlier (because of your wingmen for example), doing a tail slide makes the job for the Me 262 much easier - it won't slow down as fast as you do and can follow your maneuver before it overshoots you.