You can't really miss her rumors, as there is nothing that would lock you out of getting them. They all trigger randomly, so you can get them all if you just keep her in your party. You don't need to get them in the right order or anything like that. Advancing worlds would reset all character's event, so you will have to do them all over again if you're looking for perfection. You don't have to tho, since you can't recruit any girl twice, the only Crane rumors you might want in world 2 are for the Gem Lady and for the Shepherd's Base. Lastly, no, you can't reset the rumors with the Alice Mansion quest.
Bringing Copandon along is probably the easiest way to make money, with her skill that doubles the gold you get. Once you've unlocked Malgrid X, farming gold will become a good deal faster too, since that place has randomly spawning gold farming rooms. So, I wouldn't bother with gold too much until you have that dungeon quest unlocked. Once you're that far into the game, Forbidden Talents will start to drop a lot from chests and red orb battles too, so you won't any longer need to spend money on those.
For Resilience, you might want to start spending skill points on the skills for stats in general once you're past level 150 or so. At level 80 you get the tier 5 attacks for your fighters (Melee 5, Thrust 5, etc.) which cost a fair bit of SP and saving your points for the best attacks in the game makes sense. I think the best use of the absorb items is to fix the most glaring weaknesses of your girls early on. So, if they have poor accuracy and never manage to hit anything, an Accuracy Up Set seems more useful that anything else. HP matters for your healers, since it affects both their survivability and their skills, and Speed is generally very good to have, not just on rangers. You get a headstart with most fights if your speed is above 70 until late in the game. Stun will make your life a lot easier and is something you want to consider for those characters that are already great, like Rance, or those who have multiple, rather weak attacks, like Rizna with her Wild Dance. Their own attacks will hit harder on stunned enemies and they will be more useful if they can neutralize their target whenever they can't kill them outright.
The general strat I build my characters for is a fast, high damage, stun-proof party that kills the enemies quickly before they can act much. That means you take little to no damage per battle , so you won't need a constant guard or healer in your group. That, in turn, allows you to use more damage dealers instead. It makes the fights as short as possible, so you get as much as you can out of your time with the game.