First, I have to wonder, being a follower of Paul, how one could NOT tell this was Paul’s writings.

<---- How I feel that he is
that into so many people’s heads they can not see the
obvious … Do you
read Paul’s writings? They are one and the same. But here, let me do more of the work for you.
3 John 1: 3
4I have no greater joy than to hear that my children walk in truth.
2 Corinthians 6:13
Now for a recompence in the same, (I speak as unto my children,) be ye also enlarged.
Galatians 4:19
My little children, of whom I travail in birth again until Christ be formed in you,
Hebrews 2:13
And again, I will put my trust in him. And again, Behold I and the children which God hath given me.
3 John 1:
2 Beloved, I wish above all things that thou mayest prosper and be in health, even as thy soul prospereth.
5 Beloved, thou doest faithfully whatsoever thou doest to the brethren, and to strangers;
11 Beloved, follow not that which is evil, but that which is good. He that doeth good is of God: but he that doeth evil hath not seen God.
I Corinthians 4: 4
I write not these things to shame you, but as my beloved sons I warn you.
Also, concerning the above:
Paul is the only one I know of that continues to talk this way:
3 John 1:
13 I had many things to write, but I will not with ink and pen write unto thee
I Corinthians 4:17
For this cause have I sent unto you Timotheus, who is my beloved son, and faithful in the Lord, who shall bring you into remembrance of my ways which be in Christ, as I teach every where in every church.
I Cor 10:14
Wherefore, my dearly beloved, flee from idolatry.
Phillippians 4:1
Therefore, my brethren dearly beloved and longed for, my joy and crown, so stand fast in the Lord, my dearly beloved.
Concerning the “write” verse in 3 John that I posted a bit up:
I Corinthians 14:37:
If any man think himself to be a prophet, or spiritual, let him acknowledge that the things that I write unto you are the commandments of the Lord.
I Timothy 3: 14
These things write I unto thee, hoping to come unto thee shortly:
The above is the kicker concerning the verse after the “write” comment in the 3 John verse…
3 John
14 But I trust I shall shortly see thee, and we shall speak face to face. Peace be to thee. Our friends salute thee. Greet the friends by name.
Greet, Salute, Peace… all of these are such common themes in Paul’s writings that I am left shaking my head at… well… sheesh!