Alluding to already Narrated Past Simple events in Past Perfect

Please, read the following quote:

I finally finished tidying about 3 a.m. (after I moved the furniture) and a few minutes later I was fast asleep. I woke up suddenly at 8 a.m. I had arranged to meet my parents at the airport at 8.30 a.m. but I hadn't set the alarm!

If moving the furniture which was already narrated in the story was one of the causes of the current distressing state, can I still refer to it using the past perfect tense? i.e something like "I hadn't set the alarm and had moved the furniture"? or it is a choice because it's already mentioned in the story in clear order?

This was a comment on my previous post "Reference Time, Coordinating Conjunctions and Past Simple/Perfect Tense" which was answered gratefully by @StoneyB, but it is a different question.

Answer

If you feel a need to bring up the furniture-moving at the 8 am RT, yeah, ya gotta use a past perfect if you're going to use a tensed verb:

I finally finished tidying about 3 a.m., and a few minutes later I was fast asleep. I woke up suddenly at 8 a.m. I had arranged to meet my parents at the airport at 8.30 a.m. but I'd moved all the furniture and tired myself out, so I hadn't set the alarm.

But FumbleFingers‘ Perfect Truism tells us “Don’t use the past perfect unless you have to” There are better ways of skinning this cat—participles and gerunds, for instance:

I finally finished tidying about 3 a.m., and a few minutes later I was fast asleep. I woke up suddenly at 8 a.m. I had arranged to meet my parents at the airport at 8.30 a.m., but tired out from moving all the furniture, I hadn't set the alarm—and now I was late.