There is no way anyone can tell what hair type you have when you have relaxed ends attatched to your hair in such an abundance.
The hair being soft and smooth is really irrelevant. The hair being soft could be just the nature of your particular hair texture. You could just be a person with silky natural hair. But that in itself doesn't give any clues as to hair type. All hair typing does is tell you what SIZE the curls are..nothing more. All these other "characteristics" that folks claim about such and such hair type is bogus and yes even some of them on this website (LOL). Not all 3b's and 3c's are silky.
Two people with 3c curls can have hair that feels totally different. One can be coarse and wiry..the other can be silky and smooth. But both of them can have 3c curls.