Well....this all looks okay except the first bit in Izmir IMHO.No visit to Ephesus?Really?Buca Gölet will be as miserable as sin at that time of year and isn't a wildly exciting spot at any time.If you insist on staying in Izmir then visit the huge Mevlana statue in Buca instead.It is one of the largest statues in the world and stands on top of the highest hill in Izmir,so great views.There is a nice cafe underneath and the gardens are lovely-maybe not so lovely in February :)
Konak Clock tower is right on the sea front so that's a nice place to stroll if the weather is kind to you.Nearby there is Kızlarağası Han,a restored Ottoman trading han which has some lovely craft shops to browse.Much of your time you can walk okay but to go out to Buca you need to take the bus from nearby Konak tower.
2 days and nights in Cappadocia is a good idea to give you 2 chances at the balloon ride.Ask your hotel for a quote for this but then also contact a few companies direct so you can compare prices.What will be comofrtably accessible depends so much on how good or bad winter we have.100% for sure there will be snow there but as to how much.....crystal ball needed :) But you should be able to visit Göreme Open Air Museum ,probably Zelve Open Air Museum or at least part of it,one of the underground cities,probably Kaymaklı would be okay and the road there open as it is quite a main connector road.Pigeon Valley 'may/should'be open so you can walk to Uçhisar but if not then the bus or even a taxi would do.And you should be able to reach Urgup and Avanos okay too as both of these are on main connector roads which tend to be kept open as much as possible.Draw up a wish list and you'll have to wait until you are there to learn which will be possible.Some place syou can walk to(hopefully)provided you are dressed correctly but others you'll need to use the local bus service.Your hotel should know the winter timetable for it.
In Istanbul you'll probably walk a fair amount ,especially your time spent in Sultanahmet area.But then to commute between the historic peninsula and the more modern north of the city then the tram is the best bet.It will be too cold to make a full Bosphorus cruise pleasant but do try at least to jump on a couple of ferries just for the pleasure of seeing the city skyline from the water-it's amazing.One of the best ferry routes for this is Eminönü to Kadıköy on the Asian side.4TL for a 20 minute sail offering stunning views!Go there have a cup of coffee and then return.
