Flynn is cautiously optimistic at the moment! The memory he shared really helped solidify a few things and opened his eyes a lot to Yuri's perspective on things which is something he really needed to see. Aather has done a lot to shift how Flynn views his personal goals and methodology so especially with Yuri he was feeling a disparity in his understanding of what he wanted vs. what Yuri wanted. Being shown that yeah, Yuri does sort of push himself and his own wants to the side followed so quickly by the confirmation that yes, Yuri does want him was a huge boon to that effort.

In some ways it hasn't changed things much because Flynn had already made his promise that he would stand by Yuri no matter what. But mostly in addition to that he knows that he does hold the same importance for Yuri even if neither of them are able to place it well. What they have right now is pretty nebulous in Flynn's eyes but he's confident that they'll sort it in their own time.

He is pretty hesitant to put plans or expectations to their relationship because he knows that Yuri does things at his own pace and more than capable anything Flynn wants to respect that. He's probably going to slowly ease and relax into being a bit more playfully teasing of Yuri since most of his experience with relationships is flirting with Dino but he'll allow Yuri to make the moves and he's more than willing to step back if it seems like Yuri's out of his comfort zone or hitting crit tsun levels. Basically he is a dere barnacle stuck to your side now, Yuri.

I know nothing of homestuck tell me who dirk is.