Re: question
1.- NO, basically. Neal's whole thing is that despite everything he doesn't move on, canon and his own personality doesn't let him. He would've had a much healthier life if he had just been like god, fuck my dad, and forgotten about the whole deal and gave no fucks, but he couldn't do it. He dated Tamara to the point of being about to marry her and he still had feelings for Emma all along. He died for Emma and Henry twice. It would take, idk, decades for him to be able to move on in the sense of becoming romantically attached to someone else in the way he was to her, and even then he'd forever hold a torch for her.
2.- His type is pretty much "pretty lady who can kick his ass", if we consider what Emma and Tamara had in common. He doesn't seem to have had many dates or friendships or anything in his life pre- and post-meeting Emma, understandably given the circumstances. He goes from being isolated as The Dark One's son, to being lost in London homeless for six months, to leaving to Neverland for hundreds of years to being homeless in the USA (and then meeting Emma), to then running away to ... Canada, was it? (lol me and locations) and then going back and establishing himself in NY at some point between him leaving Emma and then Emma going to Storybrooke (so, eleven years later).
For a guy who had just lost the love of his life over his past and his identity, I... highly doubt he was able to really connect to anyone until wayyyyy later, partially out of fear of intimacy because of his identity, and partially because he was still pining over Emma. At most he must've had a couple of dates here and there, but the big relationship later was with Tamara (who was using him and working for Peter Pan, mind you). The story with them is basically she staged their meeting, and Neal seems to have fallen for her instantly, which (aside from being plot-convenient) tells me he simply latched onto the first person to really try to get close to him and pay attention to him. With his identity as "Neal Cassidy" far more established and secure, he was more free to let himself get caught up in a romance, and then it comes out that Neal desperately wants friends and bonds in his life because he's a lonely fuck who never wanted to be. He also wanted a family like crazy, he establishes over and over that family is The Most Important Thing, and Tamara - as she was plotting to get close to him, and so had no issue presenting as a perfect girlfriend - could offer him all of this.
Tamara is outed as one of Pan's minions (and then shoots him and opens a portal which he falls through, this is why he initially "dies") and he's pretty heartbroken at the moment of the revelation, but later on his priority becomes going back to Emma and Henry to save them from Pan, and Tamara quickly fades into nothing (nevermind Rumpel finds her in Neverland and kills her horribly lol you don't kill his son and get away with it).
In Kiseki specifically, he's really just very Emma-centric, following on the Emma-centric-ness from canon and adding that following his death, of course he'd want to spend as much time with her as possible. And he's stupidly attracted to Isabela because who wouldn't be, right? But even then he's pretty awkward and silly about it.
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Does Sebastian miss Ciel, personally or as his master?