Your half-brother's full brother would also be your half-brother.
Your half-brother's half-brother (assuming he isn't your full brother) is probably what we officially call "no relation," though he might potentially be a stepbrother.
Half-brother or full brother, it doesn't matter. The child of your mother's sibling is your first cousin and the grandchild is your first cousin, once removed.
Technically you are not related at all. There is no blood relationship. Ask them how to address you, aunt is sometimes used.
There really is no relation, but if the aunt wants to call that half-brother something, call him a nephew. It's only polite.
They are brothers in law
No relation
The brothers of your husband are your brothers-in-law.
nephew
Uncle if you are male and aunt if you are female.
If your half-brother has a full sister, she is your half sister. If your half brother has a half sister, she may be your full sister, or she may not be related to you at all.
YES
Your husband's big brother is your brother-in-law. If your husband has a little brother, he is also your brother-in-law.
Jacqueline Kennedy did not have brothers. She had a step-brother, Yusha Auchincloss, and a half-brother.
They are half-brothers.
Kane is his half brother.