Day 1- Capri-Anacapri-Blue Grotto. - Where Hydrofoil can get and is
easy to do our own or not?
Schedules and docks for the boats in Naples are here:
To Capri:
http://www.capri.net/en/ferry-schedule?from=napoli&to=capri
From Capri:
http://www.capri.net/en/ferry-schedule?from=capri&to=napoli
With 4 people, I'd take a taxi to/from whichever dock in Naples your chosen craft depart from/arrives to. Capri is not difficult to explore on your own, and you'll find lots of info on its tourism site (ignore the touts for tours). You'll find info on the Blue Grotto there as well, although it's not an attraction I personally recommend.
http://www.capri.net
Day 2 - Pompeii - Mt. Vesuvius - Is it possible our self. Pls advice
how?
You can access both by Circumvesuviana train from Napoli Garibaldi station (it's connected to Napoli Centrale) to Pompei Scavi - Villa dei Misteri station. Be SURE to validate your train tickets before boarding!
http://www.sorrentoinsider.com/en/naples-to-sorrento-train-schedule
You could also hire a private car to take you there and back. It'll be more expensive but some people feel that the convenience is worth it. I don't have a personal recommendation for a driver but I'm sure someone else will if you are interested?
This website has instructions on taking the bus from Pompeii to Mount Vesuvius: it's under "Sorrento to Mount Vesuvius". Do be aware that the buses or other vehicles cannot go all the way to the top so you'll have a 1/2 mile (800m.) walk from the drop-off point to the viewing area on a slippery, loose gravel path: be sure all of your "ladies" are in shape to handle the trek and altitude, and wear sturdy shoes...which you should wear for Pompeii's uneven surfaces anyway.
http://www.sorrentoinsider.com/en/e/sorrento-tours-to-pompeii-herculaneum-vesuvius
If you wish to take a tour at Pompeii, there are guides for hire available at the entrance. Also, this company (below) is often recommended by RS posters who've used them. You would take the Circumvesuviana from Naples to Pompeii as instructed above to meet up with your guide and rest of the group.
https://www.walksofitaly.com/pompeii-tours/best-of-pompeii-tour