Arnhem - Copenhagen: you could use Snälltåget between Hamburg and Høje Taastrup (close to Copenhagen). You can buy a separate ticket Høje Taastrup - Copenhagen to avoid using a second travel day for this short trip. Use promotional code "INTERRAIL” on the Snälltåget website to book reservations.
Copenhagen - Hamburg: you could use the Snälltåget night train again from Høje Taastrup (no extra ticket needed in this direction) but it arrives a bit early in Hamburg (5:31...). The direct day trains take 4:36-4:45 so maybe that's a better choice. Reservation in the day trains is optional but recommended since these trains can be quite busy; best done via DSB for DKK 30.
Hamburg - Antwerp: There's not really a suitable night train yet. I'd recommend using day trains every 2 hours via Cologne and Brussel-Noord. Take the direct Hamburg-Cologne to avoid a change in Hannover. Reservation is optional, best done via Deutsche Bahn (click on "Seat only”) for 4€ the whole journey.
Antwerp-Paris: no night train. Thalys reservation is €25 but you can also take the IC to Lille (also a nice city by the way) and then a domestic TGV for 10€.
Paris-Marseille: There's a night train Paris-Nice that also stops at Marseille-Blancarde, which is not too far away from the city centre and has also a tram.
Marseille-Milan: no night train. Reservations for Italian day trains can be booked at an Italian station or in advance via ÖBB using these steps. (Interrail also sells them but with a 2€ booking fee.)
Milan-Florence: no night train
Florence-Rome: no night train
Rome-Venice: direct night train, reservation via Interrail (with a booking fee of 2€) or at the ticket counter in Germany or Italy (no booking fee). Compare the price of a supplement with the available normal fare on the Trenitalia website because Interrail reservations for Italian night trains can be more expensive than an advance/saver fare. That way, you wouldn't need a travel day either.
Venice-Vienna: direct night train, best booked via ÖBB using these steps. Seat reservation is 14€; couchette or sleep is more expensive.
Vienna-Prague: no night train. Many day trains, reservation optional, except for RegioJet trains, where it is mandatory and can be bought at a RegioJet sales point.
Prague-Amsterdam: there's no direct night train yet but you could travel to Regensburg and there change to the night train to Amsterdam. Reservations via ÖBB using these steps. Seat reservation is 14€; couchette or sleep is more expensive.