The pasuk says ומשלוח מנות איש לרעהו. Is one's Rebbi considered רעהו?
Can one send to close family members? Maybe since the mitzva is intended to increase brotherhood and friendship, one's family members who are already very close aren't included?
What about a מחלל שבת? Is he called רעך? What about a תינוק שנשבה??
[See Sfas Emes Megila 7b and Tshuvos Vihanhagos 3/236]