Nope, it is not counting. Charlotte can count from 1-15 (although sometimes she still got the 13 and 14 mixed up) way earlier. What I mean is writing!
Yes, she starts with some alphabets and numbers. She can write H and A, O (obviously as it is the same as drawing a circle) and 1, 2 and 3. Her 2 is very good and consistent now, but 3 still need to practise.