It is the target of your subjective intentionality at the moment. Well, they are objects in relation to subjective intentionality. It is better to say that they are both part of consciousness. A physical tomato in the world is a physical object, but that is irrelevant to a discussion of subjectivity. When subjectivity puts itself into some intentional relationship with that object as perceived, imagined, understood, conceptualized, confronted, etc.
Subjectivity is defined with respect to objectivity.
Not the same as consciousness. Neither component by itself is conscious, or defines consciousness. Subjectivity is not conscious. Only the two of them in relationship constitute consciousness. It would not be consciousness of any kind.