Are there any free online counselling chatroom or skype?

Research pending... Many places are researching the use of telehealth, which includes providing counseling over the internet. Research on the effectiveness of telehealth is still building; however, there are health care providers (i.e., va hospitals) that offer it in some areas. If you are able to find a telehealth provider, it is unlikely to be free.
There are a lot. Of free online counseling sites. I am not sure about the quality of the services. I think you should google free online counseling and then compare the sites. See what people who have used them say about the services. Personally, i believe face to face is better and would look for a mental health clinic near where yoiu live that has free or sliding scale services 2 insure the best possible service.