Fingering, masturbation, no bleeding, but finger goes deep inside, tried checking hymen by putting a blunt pencil, goes only upto 2 inches. Hymen broken?

Difficult to know. The hymen is a remnant of the tissue that was part of the vagina, before the vagina changed from being solid to being a tunnel, during embryological development. Girls who have never had intercourse can use tampons because the hymen stretches. Only about 50% of women will bleed the first time they have vaginal sex. I would not recommend putting objects like a pencil into your vagina.