The board member's name should be capitalized. Board member, itself, should only be capitalized if it directly precedes the name of the member.
Yes
No, because it is not a proper nou n.
No. It's not necessary. Capitalize it when it forms part ot the proper noun. Examples: ADMU is governed by the board of trustees which has 75 voting members. ADMU Board of Trustees has voting power.
At the beginning of a sentence.
Congress is, member is not.
Board directors and board members may sit on the same board. However, members do not have a power of veto, and the board of directors does.
Board members collectively govern an organization.
Yes it should be capitalized.
It is capitalized at the beginning of the sentence or when it forms part of the proper noun. Example: Federal Reserve Board
Exactly as you wrote it: The members of the Board made a decision. Capitalizing "Members" may also be acceptable
staff members
Most non profit board members are appointed but some are elected from the membership.