We spent 11 days in Sorrento in April and the one thing we learned to count on is that transportation was going to be various combinations of chaotic, frustrating, cheap, expensive, and confusing. Because of that I'd recommend limiting your hotel and location changes when carrying luggage.
We did a daytrip to Capri and while I can't speak for Hotel Minerva, I do recommend its location. But overall I liked Anacapri more than Capri Town. The Isle of Capri is beautiful and we much preferred it to the Amalfi Coast.
The train ride to Pompeii is about 10 minutes shorter from Naples than Sorrento, but if you were to factor in that Naples is large and may take you longer to get to the train station, then Sorrento might be quicker. *check out Oplontis as an add-on to a visit to Pompeii.
What are your priorities for the Amalfi Coast, is that part for rest and relaxation? 5 days would be a long time for me if you like to go-go-go everyday. Each town is quite small and doesn't take long to see. I do agree they would be worth spending an evening, but Sorrento is nice too. If you're heart is set on it, I'd probably choose Amalfi because it's the largest, and the transportation hub for the AC. But don't expect transportation to be simple, especially at night...or during peak times....or early in the day....