Generally, antidepressants have a fairly low risk profile for long term use. Yes there are some pretty horrendous sounding side effects, but they are pretty rare and many people take them for decades without too many issues. The biggest problems are either they stop working (poop out) or don't really work properly to begin with.
You need to take antidepressants for between 6 and 8 weeks to give them a chance to work properly, so if you have taken the prescribed dose every day for two months and don't feel much better, it might be time to try a different one, talk to your doctor.
You won't necessarily have to take antidepressants for life, though some people do. If this is your first "clinical" episode of depression your doc may well decide to stop meds if the depression improves and you are stable with minimal or no symptoms for at least 6 months. If the depression returns then you can always go back onto meds again. After two or three significant episodes of depression the usual medical advice is to take a maintenance dose of an antidepressant for life or more usually until it stops working and they swap you to a different one. All that is a very long way down the line. If you would prefer a med free strategy talk to your doctor. CBT might be helpful in helping you form better thinking patterns, another poster has already recommended exercise and there are lots of other lifestyle things you could try, e.g. healthy eating, avoiding alcohol.
You seem to recognise that your parents are trying to help, even though they seem to be making things harder for you not better. I know this is a link to a UK site, but it has factsheets for parents, it might be more helpful than some of the stuff google throws out.
Depression in young people.