Ferries from Split to Dubrovnik via Hvar island and Korcula island

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