Actually the teaching on eternal life also comes from Paul, contradictory as it may seem. It's a reference to Romans:
Mark 10:
17 And when he was gone forth into the way, there came one running, and kneeled to him, and asked him, Good Master, what shall I do that I may inherit eternal life?
18 And Jesus said unto him, Why callest thou me good? there is none good but one, that is, God.
19 Thou knowest the commandments, Do not commit adultery, Do not kill, Do not steal, Do not bear false witness, Defraud not, Honour thy father and mother.
Notice also that Jesus doesn't even say the law in Mark 10, he talks about the commandments.Romans 2:
5 But by your hard and impenitent heart you are storing up wrath for yourself on the day of wrath, when God’s righteous judgment will be revealed. 6 For he will repay according to each one’s deeds: 7 to those who by patiently doing good seek for glory and honor and immortality, he will give eternal life;
12 All who have sinned apart from the law will also perish apart from the law, and all who have sinned under the law will be judged by the law.
Anyway, here's my short list of parallels between Mark and Paul. David Oliver Smith identifies over 70 parallels.
Mark Paul
01:01-01 Philip 4:15
01:16-19 Gal 2:9
04:11-12 Rom 11:7-8
06:7-9 1 Cor 4:11-13
07:21-23 Gal 5:19-21
08:12-13 1 Cor 1:22
08:15-16 1 Cor 5:8
08:29-33 Gal 2:11
08:35-36 Philip 1:20
08:38-39 Philip 2:15
09:38-41 Philip 1:18
10:11-12 1 Cor 7:10
10:43-44 1 Cor 9:19
12:16-17 Rom 13:6
12:18-23 1 Cor 15:12-14
12:24-25 1 Cor 15:35-50
12:28-31 Rom 13:9
13:32-37 1 Thes 5:2-6
13:9-13 2 Cor 11:23-26
14:22-25 1 Cor 11:23-26
14:36-38 Rom 8:5-15
14:67-72 Gal 2:11-14
Mark 10:
41 When the ten heard this, they began to be angry with James and John. 42 So Jesus called them and said to them, ‘You know that among the Gentiles those whom they recognize as their rulers lord it over them, and their great ones are tyrants over them. 43 But it is not so among you; but whoever wishes to become great among you must be your servant, 44 and whoever wishes to be first among you must be slave of all. 45 For the Son of Man came not to be served but to serve, and to give his life a ransom for many.’
1 Corinthians 9:
19 For though I am free with respect to all, I have made myself a slave to all, so that I might win more of them.