I've made 6 trips to Acklins since 2002. I've always flown Bahamas Air. Outside of being late I've always arrived on scheduled day. Leave at least 3 hours between connections flying home.
I have had my luggage not show up on Acklins, once for 3 days. try to carry your fishing gear on board including your boots. I've also seen it happen to others. Seems the local's coolers get 1st pref.
I've never chartered in sorry can't help you there.