In response to the command to delete or resign, I would resign. Not that I believe Facebook is a great thing and we all need it, but that I am against hanging the Pharisees rope. If the leadership has such little integrity to begin with, Facebook isn't the problem. The unqualified leadership is the problem and the use of Facebook for "hook-ups" is only a symptom.
To Titus, [mine] own son after the common faith: Grace, mercy, [and] peace, from God the Father and the Lord Jesus Christ our Saviour.
Tts 1:5 ¶ For this cause left I thee in Crete, that thou shouldest set in order the things that are wanting, and ordain elders in every city, as I had appointed thee:
Tts 1:6 If any be blameless, the husband of one wife, having faithful children not accused of riot or unruly.
Tts 1:7 For a bishop must be blameless, as the steward of God; not selfwilled, not soon angry, not given to wine, no striker, not given to filthy lucre;
Tts 1:8 But a lover of hospitality, a lover of good men, sober, just, holy, temperate;
Tts 1:9 Holding fast the faithful word as he hath been taught, that he may be able by sound doctrine both to exhort and to convince the gainsayers.
Tts 1:10 ¶ For there are many unruly and vain talkers and deceivers, specially they of the circumcision:
Tts 1:11 Whose mouths must be stopped, who subvert whole houses, teaching things which they ought not, for filthy lucre's sake.