How exciting and fun!! Wow!
In March/ early April it is still pretty cool in Europe, I would think...cooler and more damp than you are used to in your new home. If you have a lightweight packable puffer jacket or vest, that could come in very handy. But also, a good raincoat. I have been in the UK at that time of year and some years it's relatively warm and others, still quite cold. So it all depends.
Will you have laundry options or will you be hand washing only?
I'll bet some of your EF items will work for this trip, layered over and under.
I could probably never manage a trip of this length with carry on only (I am hopeless in that regard) BUT....if I were planning to do it, here is what I might bring. (I looked at your wardrobe but wasn't able to judge fabric weights/ warmth levels by looking, so that's why I am choosing from mine). Explanations included.
First, my knit suit -- mix and match, layers over other stuff. I'd probably leave the dickey at home and simply layer it over my actual hoodie (if needed). It is a subtle pattern so adds interest and is comfortable, easy to wash and dry.
Waterproof walkable boots and a pair of sneakers. I'd lack a truly dressy option. I might take black boots instead for practicality, but these ones are fun and waterproof, so...
A pair of stretch wool pants -- they don't wrinkle, can look dressier, and add a bit of warmth.
Stretchy jeans -- these ones are not the most current cut but they are lighter weight than most of my jeans and comfortable; also they dry more quickly.
The bag is nylon -- it is lightweight. I usually crush it down when travelling and put it into my "personal item" which is a larger gear knapsack, and then bring it out when I want a slightly fancier bag.
You will note a ton of merino. It is lightweight, thin, warm, layers really well, does not get smelly quickly, can be washed in sink and air dried. I find it ideal for the temps you will be dealing with.
Scarves for visual interest, layering.
The two piece dress is mix and match, tech fabric, wash and wear. Not warm, though, so if I am in a colder place I layer Heattech undies with it. That works really well.
Stretch silk blouse doesn't wrinkle like regular silk or cotton and provides interest.
My J. Crew field coat is not in the best shape any more but it has so many great pockets and somehow manages to look right in both casual and more dressy situations. I expect you will need a coat most if not all days in late March/ April. So it should be a coat you can live with, day after day. And ideally one you can stuff in a bag if necessary. Mine doesn't pack down small enough to fit into this knapsack but it does fit into my bigger Patagonia gear knapsack, which I would also have with me.
I think this would fit in a carry on, wearing the boots, coat, and probably the suit for the trip...
