WOW. You are giving Hellboy WAY too much credit, for one thing. His hand is strong, sure, but it's not as strong as the Thing. AS durable as the Hulk?? What? He can take a beating, but he is no Hulk, sir. Mind like Batman? That's just... I almost don't want to comment on that. I love Hellboy, have read everything I could get my hands on, but he is NOT close to Bruce Wayne in the intelligence area. Jump high as the Hulk? Show me ONE TIME he has demonstrated that. He heals fast, but not like Wolverine. It just seems that way because he's really hard to hurt in the first place and even harder to kill. His arsenal consists of one large gun with lots of bullets, and a bunch of magical talismans and stuff. Fire doesn't make him stronger, it just can't hurt him.
Jenny would take Hellboy on because she knows she has the best chance of surviving a fight with an unknown in her pure energy form. And there is precedent that Hellboy can be knocked down by a lot less voltage than she can bring to bear. She'd sic Dragon Man on Spawn, knowing he's a big brawny powerhouse, also good for taking on an unknown. If you notice, I know DM can't beat Spawn, but he could keep him busy. DM is class 100, he is literally tougher than the Thing in both impact resistance and resistance to temperature. He can eat anything and turn it into fuel (except flesh, which he hasn't tried yet). And he breathes fire! I know that's not useful against Spawn, but it's just cool!
It's my opinion that Majestic is stronger, but whatever. The fact is, in battle he is cold, calculating, and does not hesitate to put down an enemy at all costs. And, he has thousands of years of battle experience. Ruthlessness will always make the difference when two fighters are evenly matched.
Dark Claw could take on Hawksmoor? Maybe. They are matched on speed, with Jack maybe getting a slight edge. Jack is stronger (10-15 tons it was decided in the drafting thread), and incredibly hard to injure (how often have you seen him even bloody in Authority?). DC would have the advantage with his healing, but they would be even on sheer ferocity. The first time DC tried to use a gadget, though, Hawksmoor would just be like screw this and phase him into the concrete.
Midnighter can move, in short bursts, faster than the human eye can follow. He can see every advatage his opponent has, and find the easiest way to take him down. He heals fast and has redundant bodily systems (like a backup heart). Daredevil was trained by the same man who trained Elektra. He can dodge bullets. 'Nuff said.
Nightwing is an exceptional acrobat, who was trained under Batman, but he isn;t as good a fighter as Batman. He carries a couple Escrima fighting sticks, which makes me think it would be cool to see him go up against DD with his billy clubs. You are right, though, they are very evenly matched. DD has a slight edge with his enhanced senses and radar sense. Man, it would be fun to get into their different fighting styles, but I won't bother right now.
Grifter was trained in the fighting art of Coda by Zealot, so we can assume he's somewhat pimp in hand-to-hand. Other than that, though, he's a human with guns and good aim. Midnighter has advantages in speed, strength and tactics.
Spawn is the only one on your team no one on mine has a clear advantage over. But, I'm sorry, I can't see him standing up to combined might of those of mine who survive fights with the rest of your team.