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11a. B?E?H?R (7) More reckless brother remains inside.
12a. ?E???N?A?D (10) Go down with a set of books for one coming after.
23a. I?A (3) Girl finds first element dropped from plan.

11 The E looks wrong

23 ID(e)A

12 The D looks wrong

Thank you chrise.

11a. Brasher.

12a. Descendant.

11a: "brasher" = "more reckless" (def) , sounds good.
brer - brother
ash - remains