My Last Day - S1-E24
Other mistake: When J.D. is walking towards the hospital on his last day, it's actually the same shot of him walking towards the hospital on his first day. (00:01:40)
Other mistake: While trying to attract Dr. Cox's attention, J.D. switches off his television, using the manual on/off switch on the set itself, rendering the television inactive. After throwing J.D. out, Cox turns the television back on using the remote, and that isn't possible. He'd have to get up and switch the television on using the manual switch before the remote would operate, because J.D. didn't switch the television onto standby - the standby light goes out - he switches the television OFF.
Answer: No, it was a fake, they used a stamp.
It is real.