Andaman havens are not connected with the coastal boundaries of India by Road. There are only two ways to reach this land of Islands, one by Ferry / Ships that could be taken from Chennai & Kolkata Ports and the other is by Air. Ferry takes around a 3 to 4 days to reach the Port Blair Harbor where the airplane takes 3 to 6 hours depending on the Departure City which is why air travel is the most popular and appropriate means to travel to the Andaman & Nicobar Territory. If you are travelling from Chennai, Kolkata, Or Delhi you have an advantage of boarding in a direct flight but if you are coming from any other city or town, you will have to first reach at one of these airports to catch a flight to Port Blair.
From Port Blair you can reach the Havelock Island by the luxurious air conditioned ferries & Cruises, which takes approximately 90 minutes to reach. However, these private ferries are a bit on an expensive side but are the most convenient mode of transportation from island to island in the Andaman Isles. There are also the economical government ferry services available as well but it takes a pretty long time about 2.5 hours so travelers often discard this option and chose to travel by the private ferry. There is also a possibility of travelling by air through the operative choppers which is operated by Pawan Hans a Govt. body. Though choppers are not very common amongst the travelers those who suffer from sea sickness may opt for the same with the advanced arrangements.
Also you have to book all your ferry tickets in advance specially during peak season as last minute bookings are dicey in this region.
In short, to reach the Havelock Island you have to first land on the Port Blair Airport. From there you have to drive to the Port Blair Jetty. From Port Blair Jetty a private Cruise or a government ferry would sail you to the Havelock Island ( Swaraj Dweep ) Harbor from where you can again reach the Havelock Island Beach Resort in a chauffeured driven car arranged by the Resort which is just 1Km away from the Harbour of Havelock Island.