I like your distinction, and I propose that we make a further one: within subjective consciousness, we can talk about what I would call personal existence or selfhood versus its content. Selfhood is, if you like, the immediacy of the first-person perspective. The 'here, mine, now' of phenomenal experience; the sense of being appeared-to by sensations; the locus of subjectivity, even merely on a conceptual level. The content is the history of an individual brain (or brain-like thing) that has the capacity for consciousness. We can speak of these separately without any difficulty: if you had been kidnapped shortly after birth and raised on an island in the south Pacific by pirates, you would have the same selfhood or personal existence, but vastly different content. You would simply be the person who was raised by pirates in the south Pacific. That's the common intuition, anyway. The same whatever-it-is that is experiencing you in your current brain and surroundings (here, mine, now) would be instead experiencing the brain and surroundings of the person who was whisked away as a young child.
I'm coming back to that because I probably misunderstood a lot of what you said.
So, yes, in fact, I think I agree with your further distinction.
As I see it, this distinction is already properly expressed in the expression "subjective experience", although the terminology may not help very much. Still, it's what we mean that matters here. So subjective experience is the suggestion that there is something (a subject) that is somehow aware, and something else (the experience) that are the contents being experienced, i.e. known without any mediation.
The question of the here, the now, and the mine, seems more difficult to unpack.
As I see it, it's the contents, or parts of the contents, that give the sense of the here, now and mine. So, strictly speaking, the subject is selfless. "Now" only really makes sense in contrast with the past and the future, and both notions come with objective considerations, not subjective ones. Obviously, experience does include contents seemingly about the past, the present and the future, but the experiencing occurs as a now without contrasting with the past or the future, except through the mediation of objective considerations.
Subjective consciousness is therefore somewhat boring as a topic of conversation. All that you can say is that you have it, and then even that is somewhat misleading.
I believe this is essentially because the purpose of language is to exchange, with other people, through necessarily objectivist terms, not to converse privately with our inner self, something we can do best without using words. So, basically, we have no language to discuss subjective consciousness even though we essentially talk about the contents of our subjective experience in objectivist terms (again, this hen and egg problem).
However, this leaves the question of what "binds" your subjective selfhood to this particular organism, regardless of its history? The only answer I have encountered that satisfies me is that nothing does. If you believe you would be the same subjective experiencer in the event of your kidnapping as an infant, then you are already conceding that the 'here, mine, now' sensation remains intact despite drastic changes to your content (not just your history, but very likely your entire physiology). Since all of that can change without getting rid of personal existence, why couldn't everything else be different too? What if you were born just as you are, but with different colored eyes? What if you were born the opposite sex? What if "you" were never born at all? The answer that makes most sense is that you (read: your selfhood) would simply be born as someone else. And at this point, it doesn't make sense to call it "your" selfhood anymore, because there's just the one, and it's the same one whenever it is somehow generated by a brain with the right architecture... if I may be objective for just a moment.
I think we have no way to know so we are free to consider all ideas, if only for the beauty of them.
The immediate question that gets raised is, why do I only seem to be experiencing THIS brain, if my selfhood/personal existence/subjectivity is the same as everybody else's? Well, there is a thread in Metaphysics about the difference between past, present and future in which I speculate on why that might be. Basically, one way of interpreting time is to think of the universe as a 4-dimensional object where time does not "flow" as we perceive it to. Rather, every moment in time is just like a location in space, and if we could see things from a higher dimensional perspective, it would be clear that the past (and perhaps the future) has a concrete existence. At every point in the past, the conscious inhabitants of that point believed they were in the 'now'. Yet, as you read this, you are unable to summon the sensation of being in that 'now'; you are only able to experience THIS 'now.' But you are not a different person from the one who started reading this sentence, despite that inability. If time does not actually flow, then you ARE 'currently' in the past, as your previous self, experiencing THAT 'now'; it's just a quirk of your brain (or brains generally) that time is perceived as inexorably moving into the future, only experiencing one moment at a time.
There is another possible model, i.e. space.
The "subject" might be the local consciousness, as opposed to the entire field of consciousness. Consciousness as a field would experience a particular brain locally, as a local property of the consciousness field. Each brain would produce the local contents experienced by consciousness. There might be nothing to experience outside brains or, if there is something, then our brains would be unable to provide us with this experience, and if so, then this something outside brains would be experienced but there would still be no local brain to talk about it. The fundamental locality of physical organisation would impose a local perspective to consciousness, even if it covered in fact the entire universe, or even more.
Although that's just one possible model.
EB