It’s been quite some time since you posted this but a feeling came to mind about one aspect of the first dream when I read this. Since you asked, in case it’s useful to you —

Regarding lacking your hat, if you can sit back into that moment of the dream (scry, in a sense) and feel your feelings as you do it, it might give you an idea of whether this was a fear (for instance, of being ‘out of uniform in public’ and whatever that means to you) or an insight (for instance, that you need to go get or retrieve something before moving forward).

Best wishes for your endeavors.