jemandem das Zeugnis christlicher Treue geben

12:33 Jul 17, 2013 

I think you phrased that well - you should add it as an answer

12:16 Jul 17, 2013 

This is, I think, an 'inspection' of a parish church.
Kirchenvisitation = Überprüfung der geistlichen Amtsführung und des kirchlichen Lebens, Besichtigung der Einrichtungen (zB. Schule) und Kontrolle der Vermögensverhältnisse einer Kirchengemeinde durch die vorgesetzte Kirchenbehörde.
Another possible rendering, therefore:
"He then asked the church elders whether testimony of the pastor's Christian faithfulness could be given in respect of his ministry, his exercise of office, or his life and conduct."

07:06 Jul 17, 2013 

I think you're right - he just wants the Board to confirm that what the pastor preaches, the way he administers his office, his general conduct etc. are in line with Christian teaching.