2 John to  2 Timothy

A visit planned and a visit remembered.

Visit

12When there was much for me to write you I did not want to use paper and ink, but I hope to come to you and we will speak mouth to mouth that our joy will be complete. 2 John 1:12 (2 John 1:12 BRB)
4I am anxious to see you and I still remember your tears. I am filled with joy (2 Timothy 1:4 BRB)

In Second John the elder desires to talk in person with the lady. In part he desires the visit to bring joy. Then, in Second Timothy, Paul writes how the memory of an earlier visit brings him joy.

Sons

4I rejoiced much that I found your children walking in the truth according to the commandment we have received from the father. 2 John 1:4 (2 John 1:4 BRB)
4I am anxious to see you and I still remember your tears. I am filled with joy 5in recollecting your true belief which 1st lived in the mother of your mother, Lois, and in your mother, Eunice, and I am sure now in you also. (2 Timothy 1:4-5 BRB)

Another theme between Second John and Second Timothy is that of sons walking in the truth. The elder tells the lady in Second John that he is happy some of her sons are walking in the truth. Then, in Second Timothy, Paul rehearses Timothy's personal history of faith living in his grandmother and mother prior to him, but now also in Timothy.

The contrast of who or what is "in" is fun. In Second John the sons are living in the truth and in Second Timothy faith is living in Timothy.

Jesus Came

7because many deceivers went out into the world who do not confess that Joshua FA the anointed came in the flesh. FA This is the deceiver and antichrist. 8Beware in your souls that you do not lose those things that you have accomplished, but that you receive a full reward. FA 9All who pass and do not stay in the teaching of the anointed, god is not in. He who stays in his teaching has the father and the son. 10If a man comes to you and does not bring this teaching do not receive him into the house FA and, Rejoice to you, you will not speak to him. 11For he that says to him, Rejoice to you, is a partaker of his evil works. 2 John 1:8-11 (2 John 1:7-11 BRB)
8Therefore do not be ashamed of the testimony of our master nor of me his prisoner, but bear the hardships that come with the gospel through the power of god 9who has given us life and called us with a holy calling, not according to our works but according to his own will and grace which was given us by Joshua the anointed before the world began, 10and is now revealed by the revelation of our lifegiver Joshua the anointed who has abolished death and has shown life and immortality through the gospel, 11to which I am appointed a preacher and an apostle and a teacher of the peoples. 2 Timothy 1:8-12 (2 Timothy 1:8-11 BRB)

Another theme between Second John and Second Timothy is the coming of Jesus to earth as a baby. The core issue in Second John is that the lady is not supposed to allow anyone into the house who rejects that Jesus came in the flesh. In Second Timothy Paul passes the test of whether he would be allowed through the door.