Thank you for your question.
If you're having problems at home, there are people that can help you. Have you considered speaking to a counseller at KidsHelpPhone?
You can reach them at 1-800-668-6868. If you would rather contact them online, you can do so as well by visiting their online forum.
If you'd like to speak to someone in person and can travel to the Chatam-Kent Women's Centre, you can also speak to a youth councelor there. You can reach them at: 519-354-6360.
As for applying for welfare, according to CLEO:
If you are 16 or 17 years old, you can get social assistance only “under special circumstances”.
You might have to show OW that your parents will not let you live at home, or that it is harmful for you to live there. For example, you might be able to get assistance if your parents are abusing you physically or emotionally.
And in most cases, the OW worker must be sure that your parents cannot or will not support you ﬁnancially. Even if you may be able to get ﬁnancial support from your parents in the future, you might qualify for assistance in the meantime.
You can read more about it here.
You may want to speak to an OW advisor about your living conditions.
You can also find more information about Ontario Works from their official website here.
When you think you are ready to begin the application process, you can find your nearest OW office here.
If, for whatever reason, you are denied OW, you can appeal the decision by contacting a local Community Legal Clinic in your area.
I hope this information is helpful. Please let us know if you have further questions and if there is any follow up to your question/situation.