need help on verbs

Augustine, City of God, Book 1, section 22.

Augustine is holding forth on suicide. He’s against it.

Non modo quaerimus utrum sit factum , sed utrum fuerit faciendum.

McCracken (LCL) translates it like this:

We are not now asking whether this was done but whether it should have been done.

When I read this sentence, I realized that my grammar was slipping. I’ll be grateful for some coaching on sit factum and fuerit faciendum.

I would analyze like this.

nōn modo quaerimus utrum… is an indirect question (we are not now asking whether…)
so the following two subordinate clauses must be in the subjunctive mood.

first subordinate clause
prefect passive construction
indicative: this was done (or this has been done) est factum
transform to subjunctive: est → sit (present indicative → present subjunctive)
sit factum

second subordinate clause
passive periphrastic construction
indicative: this was to be done (or was deserving of being done) fuit faciendum
transform to subjunctive: fuit → fuerit (perfect indicative → perfect subjunctive)
fuerit faciendum

Sequence of Tenses
Note that since quaerimus is a primary tense in the main clause, the subjunctive in the subordinate clause can only be present or perfect tense.

Many thanks katalogon for this very helpful analysis. I was thrashing about trying to recall the grammar terms to look up, but the sentence raised so many questions that I was overwhelmed.