Generally speaking, it depends a lot more on the user than on the type of brand. Some people will train their brand as a weapon, others will see it as a tool for work, and the brand evolves with the person bearing it so even if it's used in fight, it might be used quite differently (think about Lusk and his regenerative abilities, compared to Rowen and his plants, same brand, different uses).
However, if we take these differences out of the picture, I'd say it would be something like: Arakar (war) > Argon (fire) > Lastra (shadow) > Tessil (air) Hurie (water) > Garanne (earth) > Elaria (light) > Mariuani (life). Of course it's more complex than that, because some brands are stronger or weaker against some others, but if we had to simplify it for the sake of ranking it would be more or less the rank of power.

Maelbjorn (without armor): Not only is he large, but he is also a bear, which means that with time he'll get better in hugability.

Erik is an expert in cuddling. It's one of his specialties!

Akhet comes next, and for a rather obvious reason: his feathers. If his beak is a problem when it comes to kissing, his feathers more than make up for it when it comes to hugs!

Tenoch has one major problem: he overheats, which can be unpleasant for a prolonged cuddle. Besides, the lizard is more about sex than he is about tenderness!

Vekad: Years of hunting and surviving in the forest have made his body pretty calloused. What's more, he's not much for cuddling, but maybe you can persuade him, who knows!

Maelbjorn (with armor): Even if he is a bear, his armor makes him difficult to hug. It's hard, cold, but hey, at least you've got a bear to hug!

Erik, as has already been mentioned a few times, quite enjoys bondage. Our brave rabbit likes to be tied up and in the hands of someone he trusts!

Meanwhile, Tenoch likes to play with more than one partner! The more the merrier, especially if all genders are present in bed... After all, we know that he likes to vary the pleasures.

As for our brave Akhet, I'm afraid he's the most straightforward of these gentlemen. Apart from the tenderness and cuddles, there's no particular kink to mention for him.

I'd say one of Maelbjorn's biggest kinks is probably role reversal, mainly because he can let off a bit of steam by not being in charge for once.

As for Vekad, I could see him being into nudism. I know it's not technically a kink depending on how it's practiced, but I imagine him naked on his own, chilling in the forest. It would be purely a solo thing or something he'd do with someone he loves, so not particularly in an exhibitionist kinda way.

Akhet, once he recovers from the shock of seeing a talking machine, would probably get on quite well with Isaac from No More Future. They both seem to appreciate taking their time and to chill.

Tenoch would have no problem being friends with Russel from Santa Lucia. They both seem to feel comfortable in their role as fairly relaxed mentors.

I think Vekad and Flynn from Echo would be a great match, mostly because they could be in silent agreement most of the time after a bit of grumbling and drinking.

Maelbjorn would mostly try to find his match on the intellectual level. Not necessarily someone he agrees with, just someone who could stand up to him in a debate. I believe Hamish from Temptation Ballad would fit that role the most, both because he is a tactician and a warrior (well, he is a ranger, but you see what I mean).

As for Erik himself, and the thought of what the two of them would be capable of terrifies me, he would get on perfectly well with Mike from Cor. I'd rather not imagine what kind of mischief they'd get up to together.