Upvote:2
Answer is of course, yes. It's totally OK to check items like TVs, microwaves, appliances, when you fly. You see people doing this every time.
I believe you should NOT have to pay tax. It would be good if you had the receipt that you originally bought it in Italy, but, my guess if you could "talk your way" from it. After all, it will not look brand new.
Nothing to worry about.