Ana

Hi Lynda, all ferry schedules from Dubrovnik to Mljet are here:

https://www.croatiaferries.com/dubrovnik-sobra-ferry.htm

https://www.croatiaferries.com/dubrovnik-polace-ferry.htm

Mljet Island ferry schedules are here:

https://www.croatiaferries.com/mljet-island-ferries.htm

To take car to Mljet in May, drive from Dubrovnik to Prapratno, Peljesac (about 1 hr drive) and take ferry from there to Mljet:

https://www.croatiaferries.com/prapratno-sobra-ferry.htm

We are looking for a ferry from Korcula to Dubrovnik on Tuesday, May 29th. 

Are there any available? 

If not, what options do we have to get from Korcula to Dubrovnik on that day?

Ferry from Korcula to Dubrovnik starts in June : https://www.croatiaferries.com/korcula-dubrovnik-ferry.htm

Take morning bus from Korcula to Dubrovnik : http://www.korculainfo.com/bus/bus-dubrovnik-korcula.php

Yes this is a brand new site, we are still wokring on it, so not all ferry routes are uploaded yet.

However, Jablanac – Misnjak route is now live with updated schedules for 2012 – have a look:

https://www.croatiaferries.com/jablanac-ferry-port.htm

https://www.croatiaferries.com/misnjak-ferry-port.htm

https://www.croatiaferries.com/misnjak-jablanac-ferry.htm

https://www.croatiaferries.com/jablanac-misnjak-ferry.htm

re waiting time:

As you will be using this ferry in May it is very unlikely, even on weekend, that you will have to wait for long hours.

This is a very frequent and established ferry line run by local company (Rapska Plovidba) serving this short distance route over the channel and it should be fine in May.

If its winter time, when strong Bura wind is blowing, it could be sometimes unpredictable, but in May it should be nice and enjoyable

I would like to get from Split to Dubrovnik via Hvar island and Korcula island, staying a night or 2 on each island (around the 18-20 of June). 
Is possible to do this with the car? 
If so, what lines do we have to use? 
And, what would be the approximate cost (car + 3 passengers)?

You can do it this way:

Ferry from Split to Stari Grad on Hvar Island – route 635: https://www.croatiaferries.com/split-starigrad-ferry.htm

Back to Split : https://www.croatiaferries.com/starigrad-split-ferry.htm

Ferry Split to Vela Luka – route 604:
https://www.croatiaferries.com/split-velaluka-ferry.htm

Drive to Korcula

Ferry from Domince (Korcula) to Orebic :

https://www.croatiaferries.com/domince-orebic-ferry.htm

Drive to Dubrovnik

Here is timetable for Dubrovnik to Hvar island (port Stari Grad)
https://www.croatiaferries.com/dubrovnik-starigrad-ferry.htm

and Split to Hvar:
https://www.croatiaferries.com/split-hvar-ferry.htm

Split to Stari Grad ( Hvar Island):
https://www.croatiaferries.com/split-starigrad-ferry.htm

On each of these pages you can find link for back ferry route.

No it is not possible.

Ferries starts at the end of May.

Check all timetables here:

https://www.croatiaferries.com/dubrovnik-ferry-port.htm