With that sort of warm scarlet-red, I like cream, creamy-yellow & tan shades. Are the sleeves that much of a deal in reality, as I thought they'd just puffed them up more for the photo? In which case most jackets would fit over them.
I'm not keen on the grey shoes & clutch idea, personally. Your jacket is ok, but it's somewhat cool & greyish in tone in the image? Warmer tones would definitely be better. Plus that jacket (especially with courts) might make things look a bit work- rather than date-style? From your recent posts I think you favour a smart, minimal look - but it can be a fine line between a smart work look, & a date in a smart restaurant look, if you see what I mean?
Some jacket ideas. Some are not necessarily quite right (some too heavy, some too synthetic etc), but the sort of thing I mean.
I always find that, with clothing with a collar, it's harder to find the right top layer, so trying things on will be the test of whether things work well or not.
https://www.thewhitecompany.com/uk/Jacquard-Jacket/p/A18146?swatch=Butter&shopping=true&cm_mmc=Google--UK_ALL_GO_TWC_ALL_PLA_Brand_StandardShopping---_-&ProGrpCode=AV545&PromoCode=AV545&utm_source=Google&utm_campaign=UK_ALL_GO_TWC_ALL_PLA_Brand_StandardShopping&utm_medium=Brand-Shopping&gclsrc=aw.ds&gad_source=1&gad_campaignid=21785973107&gclid=CjwKCAjw1vXTBhB-EiwAEKr_k9eKlwq-BUoDGCgT8Y4heX54hhmnXvAbfExVjH2JzjBMM9YWXcYpCRoCm68QAvD_BwE