I started the civil war before the Marian Reforms and so I never got the First Cohort mentioned in Froggbeastegg's excellent guide from the Senate. I would imagine that neither the Scipii or the Brutii got them either. Is this correct?

Also, is there any difference between the First Cohort offered as a reward by the Senate and the Legionary First Cohort I'm able to train in Rome?

If there is, can the Legionary First Cohort lose the eagle? (If it can I plan on losing a LFC in battle and then capturing it with a good general to let him gain the "Eagle Taker" trait)

Thanks in advance.