Have you talked to Lee at the Battle Mall? After battling Barker and Jim, you talk to Lee and then he'll go outside to the softlands where you can battle him.
Still WIP. The biggest obtacles are probably:
1) one of the graphic assets for the contest mod is a sixth screen on the summary pages for contest stats, but I'm already using EVs/IVs as a sixth screen so I'm not sure what to do there. I don't want to remove the EV/IV screen.
2) the contest mod was made for Essentials v14 or 15 (I forget which) and I'm using the latest version, Essentials v16.2. There've been script changes over the versions and I saw many people asking about help with that in the thread.
I still have the actual contest scripts and graphics on my computer for when I can figure out those two issues, but at the moment I'm not sure how to proceed. Although I really want to put them in, it may not be until the rest of the game is complete that I feel up to trying to work on it again.
I remember in Desolation's intro, Rosetta mentions Cellia has a rich contest culture, but in the tournament building in Cellia an NPC mentions contests being done away with, which kind of makes me wonder if Caz had similar difficulties trying to implement contests into his game. I should have asked him about that before his hiatus x . x