Question: Should one comfort a mourner when he enters shul on Friday night?

 Short Answer: There is a custom for the minyan to comfort the mourner when he arrives in shul before the onset of Shabbos on Friday night. Some even allow such comforting on Shabbos itself.

Question: Should a burial be delayed more than one day in order to enable a close relative to attend the burial?

 Short Answer: A burial should not be delayed even until the night or next day. However, many poskim allow delaying a burial less than 24 hours in order to enable additional relatives to attend.