Acts 18:22

‘And when he had landed at Caesarea, he went up and saluted the church, and went down to Antioch.'

Landing at Caesarea ‘he  went up  and saluted the church'. This almost certainly indicates that he went up to the mother church at Jerusalem where he would complete his vow, rather than just to the church of Caesarea. He would not be seen as ‘going up' to the church in Caesarea. But Jerusalem is no longer important to Luke and he makes this clear by dismissing it with a half reference. He is no longer interested in Jerusalem.

‘And went down to Antioch.' Paul then returned to Syrian Antioch. His long second missionary journey was over. This visit to Jerusalem is confirmed by the ‘going up' and the ‘going down' which are technical terms. Attending the church in Caesarea would not be seen as a ‘going up'. Going from Caesarea to Antioch would not be seen as a ‘going down'. These were technical terms.