You can alter Factions so that they'll offer Missions even if your Rep stinks with them:

Look at these lines in mbases.ini... here's where you'll want to edit things, for a Faction represented at a particular Base.

mission_type = DestroyMission, 0.000000, 0.112387, 100

The 0.000000 is the Rep Level that you have to have before they'll offer Missions, I believe (haven't hacked that for my mod, so somebody correct me if I'm wrong here).

Set it to -1... for every Faction that can offer Missions at a given Base.. and they'll offer Missions to you, even if they'd rather just stab you in the back

Note: I haven't done this myself, but I am pretty sure that's what and where you edit this. If you wanna do this for every location this Faction shows up in the game... that's going to take a lot of editing. Mbases.ini is probably the most convoluted area of FL modding

Thanks,
I tried to change the line

rumor_type2 = mission_04_accepted, freetime_04_05, 1, 393610

What's that ,1, for ?

I dunno. I haven't gotten around to working with Rumors yet, myself. If you need to talk to somebody about this... I'd suggest (very politely) bugging Warzog, the creator of the Privateer: The Reckoning mod (you can find it listed in the Mod forums, down below). He's built custom Rumors for everywhere and everything, so I'm sure he knows what he's doing

JohnDoe already contacted me about this.
Except for editing the min/max levels, you can't get a hostile base to offer you missions.
You CAN place people who aren't hostile, and WILL offer missions, on any base.
If you place one bad-guy and one good-guy, or a neutral-guy, you should be able to get a mission anywhere.
I often use factions like the Bounty Hunters, or the Junkers, as go-betweens.

Watch your 6!

First off, the line:

mission_type = DestroyMission, 0.000000, 0.112387, 100

those numbers 0.000000, 0.112387 have to do with the min and max level of missions that will be offered. It has nothing to do with your reputation.

Next, the line:

rumor_type2 = mission_01a_loaded, mission_01a_accepted, 1, 393427

The number "1" is how many times you must visit that NPC before he tells you that rumor.