OK, here's my thoughts on the missions.
JUSTICE
That guy we just extracted from the MOC? Yeah, that's probably us being hired to go get him back. Allies are crappy, but that's never bothered us before. Veteran/B-rated opposition is pretty decent, and it's probably the last time we're going to see the majority of the OPFOR be IntroTech. Salvage isn't terrible, and not negotiable. Transport is OK, and if we don't get better it's not a major problem since it's close by. BLC is very good. The big advantage this has is that it's a contract that's close by, SHORT, and that we should be reasonably able to win due to the B-rated opposition.
BLOODFIRE
Go raid a tropical world that's noted for massive citizen militias and its insurgencies? I mean, OK, but everyone better have "Fortunate Son" queued up on their Mech speakers. Regular F allies is again pretty "meh", and Veteran/C-rated OPFOR means that we're unlikely to get salvage that we actually like. The bright spot here is that everything is negotiable, and we're likely to see a decent amount of money from the Transport Compensation. The big downside - aside from Charlies in the Trees - is that 0% BLC rating that the FedCom won't renegotiate (with the Clans going on, not that I blame them). Pretty much a hard pass for my vote.
BACKHAND
Good salvage with A-rated enemies, good allies (1st Cuirassiers or 1st Light Horse, with those ratings), and mostly negotiable. Salvage rating isn't great, but 50% isn't terrible either. Note that Allies aren't actually going to help us if we're an Independent command. The strongest mark against this one is that it *is* a planetary assault against A-rated FWL opposition; we're going to see a LOT more assault-class opposition than we're used to, and while that's great for three lances (two of which who have already chimed in in favor of BACKHAND), it's not so great for 4-5 other lances. I see this as a better-than-average chance of going south on us. It's doable, but dangerous.
NEPTUNE
A long way away, but to a planet with really good beer and with decent opposition (Veteran/B). Again, it's short, which is a help, and while the base ratings besides Transport are pretty crappy, they're all negotiable. In particular, if we can just get salvage to flip away from Exchange (a decent chance), this becomes an OK contract. Personally, it also puts us back out of the ass end of the Inner Sphere and back to where things may actually happen. I'd support a deeper look at this mission and running a bit of negotiations to see if we can get the salvage to flip.
JUBILEE
Wasn't this the name of the Dieppe raid back on old Earth? Who the hell comes up with these names?
Anyway, this is high risk, high reward. 25% ClanTech salvage is fantastic, and we don't have to turn it over to the FedCom this time. BLC can be renegotiated, which is good because we'd be pretty likely to take losses on this, for all that we're hitting 2nd-line forces. But hey, the 2nd-line Mechs can't possibly be as scary as those front-line OmniMechs, right? A Marauder's basically a Marauder, whether it's got a "3D" or a "2-C" variant number after the name, right?
Given these options - none of them a clear winner - I'd personally support them in this order:
Neptune / Justice (tie)
Jubilee
Bloodfire
Backhand
I don't think any of them are a clear disaster in waiting, and none of them are an obvious "gimme", but I think we're in a place as a unit where we could use some more raiding and less full-on line battles for a little while.