'he would take care of it'
'Sounds like an understandable misunderstanding. The only observation I can make would be that were I to have been in the "clubs" position, had I heard you say: "Here's my plan to get the plane back tomorrow....", I probably would have done nothing, and waited for you to do it. I can see both sides of this situation.
For the rare occasions when I rent something, I rent it as though I own it for that period. Having had a few imperfect interactions with rental car companies, I try to minimize any occurrence which is not exactly as planned - which means I take care of things myself, at least to the point of getting the car back to where it started myself. I will change a wheel, or other simple tasks to get it back, rather than calling someone, so they can charge me to do it. When you rent the plane next, fly your trip as though every problem is wholly yours to solve (speaking as an owner for 33 years, and occasional borrower of planes).