In the first season Lydecker and the others from Manticore after Max don't know what she looks like and it's a big deal when there's finally the reveal and they can make a drawing to send to Seattle Police to catch her. However, in season 2 they introduce that there are multiple clones of her, one full grown, so they should already have known exactly what she looks like.
In "Blah Blah Woof Woof", a doctor says there is no blood of Logan's group, AB-, which is extremely rare. Though it is certainly very rare, it is not necessary that the blood must be the same group. Someone with AB- blood can receive blood from any Rh negative regardless of the group, which is not so rare (1 out of 6).