I used duck egg white on the whole house including eaves and Monument on windows and black trim and railings. Mine is a mid century boxy style but has added textures. I’m very happy with this colour scheme but I probably need to see a picture of yours or even just a style. Works for me, but might not suit yours.

the shutters are usually made out of powder coated aluminium so check with the local specialist paint store for suitable paint and there's very detailed information online for painting powder coated aluminium (same as painting aluminium windows) tedious, time consuming but well worth the effort for a fresh new look and it could also be worthwhile to contact the shutter suppliers eg EZYFIT shutters who sell through Bunnings to ask if they have any service or advice that could help

Maybe use a Hardi product which imitates timber so you don't have to re-oil every year Personally I like the shutter system you have as it looks like a beach house If window treatments are dark it will darken the interiors as well, due to reflection Make the lower section of the building light & use the same colour for the existing shutters - maybe with a stripe (e.g. white with light grey) Then have the grey as the top part of the building Trim with white & a darker grey

I had similar dilemna and painted all woodwork including doors etc white, which I am happy with, it all ties together well.