
I'm confused, guys. Isn't Aena the seme's oc? Why would he need to search about her?

He's searching about Aena events like pop-up cafes and the like. He doesn't necessarily know about all the merchandise selling events or pop up cafes. His publisher takes care of that, he just focuses on creating the work. But as the professor's a fan boy, he'd want to turn up to all the Aena events.
He could probably ask his publisher about Aena events, but if they outsource the promo to events contractors, it's probably faster for him to just google.

I find disturbing how they act in every manga as if being gay was a crime like wtf??? Yeah, he bang dudes, so?

They may be makers of porn but doesn't mean that it is legal and is accept by the majority of the Japanese or Korean population. China also have manhuas and dramas themes despite the Chinese government and many of the Chinese population being totally against it and banning any content even remotely show a slight kiss. That does't mean anything. It only means that these countries don't mind making a shit load of money off of the back of the gay community by selling gay content but still not accepting it in their society. Just like there are also fujoshis that like yaoi and shounen ai content but still do not accept the LGBT community and think that they should have the same rights as hetros.
This whole heir thing is stupid because Noah will certainly marry that cute noble girl in the future and have kids with her so the Blake bloodline will stay alive amyways