I went back and reread some of your previous posts and I misread what you were trying to say. I see what you were saying.
The problem still remains that Paul uses the word "we" inconsistently. As I mentioned before in 1 Thessalonians chapter 2:
1 Thessalonians 2:2 - 2But even after that we had suffered before, and were shamefully entreated, as ye know, at Philippi, we were bold in our God to speak unto you the gospel of God with much contention.
It was Paul and Silas who were beaten in the book of Acts. I know you said it included Timothy but that is not what the text says in the book of Acts in the verses below.
From Acts 16 -
Paul and Silas in Prison
16And it came to pass, as we went to prayer, a certain damsel possessed with a spirit of divination met us, which brought her masters much gain by soothsaying: 17The same followed Paul and us, and cried, saying, These men are the servants of the most high God, which shew unto us the way of salvation. 18And this did she many days. But Paul, being grieved, turned and said to the spirit, I command thee in the name of Jesus Christ to come out of her. And he came out the same hour. 19And when her masters saw that the hope of their gains was gone, they caught Paul and Silas, and drew them into the marketplace unto the rulers, 20And brought them to the magistrates, saying, These men, being Jews, do exceedingly trouble our city, 21And teach customs, which are not lawful for us to receive, neither to observe, being Romans. 22And the multitude rose up together against them: and the magistrates rent off their clothes, and commanded to beat them. 23And when they had laid many stripes upon them, they cast them into prison, charging the jailor to keep them safely: 24Who, having received such a charge, thrust them into the inner prison, and made their feet fast in the stocks.
The Conversion of the Jailer
25And at midnight Paul and Silas prayed, and sang praises unto God: and the prisoners heard them. 26And suddenly there was a great earthquake, so that the foundations of the prison were shaken: and immediately all the doors were opened, and every one's bands were loosed. 27And the keeper of the prison awaking out of his sleep, and seeing the prison doors open, he drew out his sword, and would have killed himself, supposing that the prisoners had been fled. 28But Paul cried with a loud voice, saying, Do thyself no harm: for we are all here. 29Then he called for a light, and sprang in, and came trembling, and fell down before Paul and Silas, 30And brought them out, and said, Sirs, what must I do to be saved? 31And they said, Believe on the Lord Jesus Christ, and thou shalt be saved, and thy house. 32And they spake unto him the word of the Lord, and to all that were in his house. 33And he took them the same hour of the night, and washed their stripes; and was baptized, he and all his, straightway. 34And when he had brought them into his house, he set meat before them, and rejoiced, believing in God with all his house.
The other verse:
1 Thessalonians 3:1 - 1Wherefore when we could no longer forbear, we thought it good to be left at Athens alone; 2And sent Timotheus, our brother, and minister of God, and our fellowlabourer in the gospel of Christ, to establish you, and to comfort you concerning your faith:
In the book of Acts it was Paul who was left alone at Athens. There may have been some others with him but it was not Timothy or Silas. So who is he referring to in the above verse and where are they referenced to in 1 Thessalonians?
From Acts 17 -
13But when the Jews of Thessalonica had knowledge that the word of God was preached of Paul at Berea, they came thither also, and stirred up the people. 14And then immediately the brethren sent away Paul to go as it were to the sea: but Silas and Timotheus abode there still. 15And they that conducted Paul brought him unto Athens: and receiving a commandment unto Silas and Timotheus for to come to him with all speed, they departed.
Paul at Athens
16Now while Paul waited for them at Athens, his spirit was stirred in him, when he saw the city wholly given to idolatry. 17Therefore disputed he in the synagogue with the Jews, and with the devout persons, and in the market daily with them that met with him. 18Then certain philosophers of the Epicureans, and of the Stoicks, encountered him. And some said, What will this babbler say? other some, He seemeth to be a setter forth of strange gods: because he preached unto them Jesus, and the resurrection. 19And they took him, and brought him unto Areopagus, saying, May we know what this new doctrine, whereof thou speakest, is? 20For thou bringest certain strange things to our ears: we would know therefore what these things mean. 21(For all the Athenians and strangers which were there spent their time in nothing else, but either to tell, or to hear some new thing.)