Question: What should a person do if he realizes on Shabbos Erev Pesach that he forgot to sell his chametz to a non-Jew?
Short Answer: It should be gifted to a non-Jew on Shabbos, but if that is not an option, most poskim do not allow for the chametz to be sold on Shabbos.
Question: May you burn your chametz at a public chametz burning location in the neighborhood?
Short Answer: While Rav Moshe Sternbuch shlita expresses certain hesitations about public burnings, most poskim permit these burnings as a valid (if not optimal) method of burning the chametz.
Question: Do we change the language of bitul chametz when it is performed on Shabbos?
Short Answer: Most poskim hold that the language of bitul chametz always stays the same, and the word hefker is still included when the bitul is performed on Shabbos.
Question: What should a person do if he inherits chametz from his irreligious father on Pesach?
Short Answer: The poskim dispute whether he needs to destroy this chametz on Pesach and whether it is permitted after Pesach. The Mishnah B’rurah appears to permit it after Pesach.