The Minister of Arts and Sciences coordinates activities associated with the different arts and sciences existing pre-17th century. These may be during events or they may be other gatherings for projects or classes.
The Lists involve who is in what tournament, who is their opponent, who is eligible for said tournament, etc. The Mistress of the Lists is the person that coordinates all of that information during the event and reports the results.
If you are new to the group or the SCA as a whole, this is the person you want to talk to. The Chatelaine welcomes those new to the area and the SCA. Provides information on the basics of the local group and the SCA in general.
The Herald has several parts to their office. They act as the announcer during court, make announcements during events, help people select period names, help people create their device (a unique symbol used to identify someone or something, such as the symbols next to each office here), and help submit those names and devices to be officially registered.