Scorzy88, this: https://ancillary-proxy.atarimworker.io?url=https%3A%2F%2Fprnt.sc%2Ftlorxj . And I doubt this multiplier works at all. the experience gained does not increase.
You're getting close to getting some Legacy! A couple more ranks and maybe another retrofit should get you there. Is there a bug in the screenshot that I'm missing? Send me a shout if I'm missing some details.
I saw your screenshot, but I'm not sure there's a bug there, yet. Maybe just badly communicated mechanics. To win your first star fight, you'll probably want to be rank 4 or 5.
Skills are lootted on monsters, the higher you go, the more skills you have available. However, initially, only one staff skill is available, "Meteor".
Cog ont the bottom left, ui, there is an option for that.