What a Good Follow Up Should Be
A lot of elements were improved from the first episode. While you kept the simplistic drawing style that made the first one charming, the animation and colors were clearer. The sound was still muffled in parts; that would be an element to focus on improving in part 3, if you make a part 3. Even though the animation felt more produced, you managed to keep the "low-fi" vibe of the first flash. I liked the extended narrative, and that you slowed some of the dialog down to make it a bit easier to follow.
What stood out the most for me was the use of different humor elements than you used in the first episode. Overall, this technique worked well. Making Pokemon jokes can be a one-trick-pony exercise, but you didn't settle for telling the same joke twice, even if a bit of the humor was recycled. But hey, that needs to be done for continuity. (For those who will say that the humor is recycled, might I remind you that ATHF has been recycling the same jokes for 10 years, and it can still be funny from time to time.) The only thing that felt forced in this flash was the immature sex humor. You've proven yourself to have a great understanding of comedy without having to use it. You came close to over-relying on it, especially with the Brock is blind/molester joke, but you didn't go too far as to make it puerile and tasteless.
When I see someone say they will make a sequel to a flash, I worry that they will just make the same flash a second time without adding anything new or improving technique. You added new elements, expanded your comedic repertoire, and improved your technique. For that you get a 10. If Newgrounds had a best new artist award (even though you technically aren't a new artist, but so what), you'd be my frontrunner.
I loved the "your face is hot" joke. Funniest line on NG for the month.