Holding one's mother's head and taking a qasam

Q: I did a job in Saudi Arabia. On my vacation my mom came to know that I am connected with a girl (na mahram) with love. My mother told me to put your hands on my head and take a "qasam" that you will not talk to your lover in future and you will forget her. I did as she said with intention that I will follow her qasam. But I came to know that this type of qasam is haraam in Islam, so what is the worth of that "qasam". Could I break that? or my mom has to take beg for forgives from Allah because my mother never mentioned the name of Allah in her qasam? Please answer me soon as possible.

Accepting Islam and concealing it from one's family

Q: I converted to Islam. However, I have kept it from my family knowing that they will not accept my newfound religion and because of all the negativity about Islam in the news. Chinese people, including my family, are very close minded about preserving their culture and religion. But It's taken a really huge toll on me mentally. I'm not too fond of hiding my "new self" from my family and I think it really strains my relationship with them. I always have to lock my door when I pray and I always have to sneak out with the hijab or put it on when I get outside, which is a very difficult task and I think them not knowing somewhat hinders my full potential as a Muslim. For example during Ramadan, my mom would reprimand me for not eating and make me eat and etc. What should I do? Should come clean knowing that they will disown me or should I continue to keep it to myself?