@ Randy, Pam, Nick, STP:
It seems clear to me that these verses correspond to the other Gospel accounts of the 'Last Supper':
Joh 13:1 Now before the feast of the passover, when Jesus knew that his hour was come that he should depart out of this world unto the Father, having loved his own which were in the world, he loved them unto the end.
Joh 13:2 And supper being ended, the devil having now put into the heart of Judas Iscariot, Simon's son, to betray him;
Compare with:
Mat 26:2 Ye know that after two days is the feast of the passover, and the Son of man is betrayed to be crucified.
Mat 26:17 Now the first day of the feast of unleavened bread the disciples came to Jesus, saying unto him, Where wilt thou that we prepare for thee to eat the passover?
Mat 26:19 And the disciples did as Jesus had appointed them; and they made ready the passover. Mat 26:20 Now when the even was come, he sat down with the twelve.
Mar 14:1 After two days was the feast of the passover, and of unleavened bread:Mar 14:12 And the first day of unleavened bread, when they killed the passover, his disciples said unto him, Where wilt thou that we go and prepare that thou mayest eat the passover?
Mar 14:16 And his disciples went forth, and came into the city, and found as he had said unto them: and they made ready the passover.
Mar 14:17 And in the evening he cometh with the twelve.
Mar 14:22 And as they did eat, Jesus took bread, and blessed, and brake it, and gave to them, and said, Take, eat: this is my body.
Mar 14:24 And he said unto them, This is my blood of the new testament, which is shed for many.
Luk 22:1 Now the feast of unleavened bread drew nigh, which is called the Passover.
Luk 22:7 Then came the day of unleavened bread, when the passover must be killed.
Luk 22:8 And he sent Peter and John, saying, Go and prepare us the passover, that we may eat.
Luk 22:9 And they said unto him, Where wilt thou that we prepare?
Luk 22:11 And ye shall say unto the goodman of the house, The Master saith unto thee, Where is the guestchamber, where I shall eat the passover with my disciples?
Luk 22:13 And they went, and found as he had said unto them: and they made ready the passover.
Luk 22:14 And when the hour was come, he sat down, and the twelve apostles with him.
Luk 22:15 And he said unto them, With desire I have desired to eat this passover with you before I suffer:
Luk 22:20 Likewise also the cup after supper, saying, This cup is the new testament in my blood, which is shed for you.
John records a long discourse after the same supper(Passover meal) that extends from Jn 13-17 but there is no mention of the New Covenant. That seems peculiar to me since it appears that in the other accounts that 'the New Covenant' is central to the event.
I know I haven't provided an answer, but just wanted to layout the timeline and make the question clear.