If you go to Capri, don't miss La Fontelina, a restaurant that is only reachable by boat, close to the Faraglioni. The food is amazing, only surpassed by the view and the vibe. You can easily hire a private boat from Marina Grande for the 20 minute ride, which is one of the most scenic I've ever enjoyed.
If you go elsewhere on the Amalfi Coast I'd recommend a stop in Ravello for the unbelievable views. I also like Praiano as it's less touristy than Positano or Amalfi have become, although anywhere you go is beautiful and low key. Food is amazing, I HIGHLY recommend La Tagliata outside of Positano. We stayed at Palazzo Murat in Positano, which we really enjoyed, on one trip, and at Hotel Caruso in Ravello and Hotel La Minerva in Capri on our most recent trip, and Sireneuse a long time ago. All of these hotels are wonderful, you can't go wrong with any of them (although you'll need to reserve early for all of them). If I can dig up my trip notes I'll give you more restaurant names, I'll look around this disaster area of a desk and see what I can find. But you will LOVE LOVE LOVE the Amalfi Coast and Capri, one of the most beautiful spots in the world. And no language skills won't be an issue, most everyone speaks English. I speak Italian but didn't need to there. Buon viaggio!!!