billd91
Not your screen monkey (he/him)
Tying up the leader of the Rebellion (or at least one of the high ups), a general and the only Jedi in existence isn't costing the Rebellion resources? Really?
Not significantly, no. They may be three good leaders, but there are plenty of other around from Admiral Akbar, Wedge Antilles, Crix Madime, to Mon Mothma. Plus, they're all more integrated into the core structure from Star Wars on while the main characters have been a bit less reliably present. Nevertheless, that's not necessarily a huge problem for a secretive organization that's organized as an insurgency. Cellular structures and cellular independence are crucial elements of their security.
That's the veneer that's put in place to give it plausibility. Doesn't hold any real water on deeper examination, but, hey, it's Star Wars, it's not meant to hold a whole lot of water. It's about as deep as the average rain puddle. In a serious game where there are consequences to actions, spending significant time trying to rescue Han means that the Empire has that much more time to build the new Death Star. If Luke dies, the Empire wins.
...How long has it been since you've watched the movies? Luke keeps Vader and Palpatine's focus on himself, but you might notice that the rebels manage to blow up the Death Star, Emperor included, without Luke's direct involvement.
I'd also point out that the other main characters aren't exactly in the dark about Han's troubles with Jabba as Empire starts up. The other rebel commanders know Han has a price on his head. They're just caught a little surprised/disappointed that he's finally (since there's been some time between A New Hope and Empire Strikes Back) heading off to take care of it. From the perspective of the Star Wars Saga as an RPG, Han isn't trying to drive the action at all once the Empire attacks Hoth. He's reacting and improvising to get Leia to safety. And even before the attack, he's not leaving until the base is secure. It appears he's trying to head off for his personal issue resolution at a time convenient to the rest of the party. Of course, the GM has other plans like all RBGMs do and drives a better story as a result.
But, hey, all that doesn't matter. Our PC friend needs our help, so, off to help him we go because we are obligated to play out any and all complications at the table. Whether or not it's actually in character or makes any logical sense to do so isn't important.
Then think about it this way, if Han, Leia, and Luke's adventures are tying up precious resources as you state above, maybe rescuing one of those precious resources justifies risking the other two. After all, it's Han's guile that enables the rebel commandos to bring down the shielding that protects the partially completed Death Star from being penetrated and destroyed. Hate for them to lose on Endor, and thus the war, for want of that particular nail...