We will be flying Island Air from Lanai City (LNY) to Honolulu (HNL) then connecting to a Hawaiian Air (HA) flight on a separately bought ticket from HNL to LIH. 1) Will we be able to check the luggage thru to Lihue from Lanai? 2) How will the baggage fees be calculated? Will they just be charged by IslandAir or will IslandAir collect twice - once for them and once for Hawaiian Air? Looking forward to your kind assistance.