Agatti island is the only island that has a airstrip , AirIndia flies daily from Kochi (No service on Sundays ) . Due to some bizarre reason resort in Agatti is closed , there are government run resorts in Kadmat (2.5 hrs by speedboat) , Bangaram/Tinnakara (45 minutes by speedboat) , Kalpeni, Kavaratti (2.5 hrs by speedboat). The government ferry service (Speed Vessels) to all islands starts from kavaratti in the morning so the people travelling by flight will have to depend on Speedboats.
SPORTS is a organisation that is run by the Lakshadweep government and they manage all the resorts, they provide packages suiting people travelling by flight or Ship.Permits are required for both indian nationals and foreigners , which is arranged by SPORTS as part of the package. This is pretty much a Indian regional government organisation so expect some delays and frequent followups are required for the booking, email correspondence is the preferred mode of communication. Bare in mind that they are running this with limited resources as Lakshadweep is not exploited for tourism and they don't get enough revenues from tourism
http://www.lakshadweeptourism.com/
I had opted to stay in Kadmat island throughout the trip , the resort here is spectacular and is in the southernmost tip of the island away from the village and has good snorkelling /Scuba diving facilities. This part of the island is just few 100 feet wide and there are clean pristine beaches on both sides of the cottage. We were literally having the beach for ourselves and there were just 10 more families/couples staying in the resort. Bangaram island is the best of the lot as its uninhabited and a smaller island, but they just have beach tents without electricity which is not very comfortable as it gets quite hot and humid in the afternoons. We had taken the Air India flight from Bangalore, the flight has a stopover in Kochi and proceeds to Agatti. The landing is spectacular and the airstrip has been voted the most scenic airstrip in India . Post lunch we departed from Agatti on a speedboat to Kadmat the speedboat trip is amazing and you get to see dolphins and flying fish dancing their way out of the water , Bangaram island was looking so tempting from the speedboat.
We spent the next 3 nights/ 4 Days there and this was one of our memorable trips