A question after my heart. Even though my pea coat is colour blocked ink and black, when I wear black boots, black pants or skirt, black tights, I feel I might as well be wearing all black! And it is awfully difficult to avoid the black footwear in winter, not to mention the dark trousers.
When you ask "is it enough to have non-black scarf, gloves, hat, and bag," the question really should be: Is it enough for you? Will your spirit sink under the weight of the black or soar at its drama and luxury? And only time will tell.
For myself, I think you will feel fine with your touches of colour -- considering that this is not your only coat. If it were your only coat, I think you'd get bored, depressed, or annoyed about that.
Consider also that you'll wear this coat primarily with items like your cobalt trousers (not "all black" there!) or longer dresses and skirts. Or trousers that are not black .So right away we will be getting glimpses of non black besides your scarf and bag.
And also, you won't be wearing that coat every day. So you get to rotate for the fun of it (and colour).
I have some similar questions about how to bring the light in, in winter. You do this incredibly well, but for some reason I am struggling and need some assistance.