Is it good to use medicatios for anxiety and depression? how long can these medications be used with out side effects?

Depends: Medications can be effective in the treatment of depression and anxiety. The best results are usually seen when medications are taken in combination with psychotherapy/counselling. Most medications can have side effects, but they are usually minor. Discuss the side effects in more detail with the prescribing provider.

Therapy?: Have you yet tried any form of psychotherapy? Typically, the optimal combination of things to treat emotional issues such as depression is medication (which, on your best day, is supposed to take the edge off symptoms) but the real gruntwork takes place in psychotherapist's consulting room. Medication side effects are dependent on dosage and patient.

Why anxious?: Medications might alleviate the immediate symptoms. However, there is a reason why you are anxious (or depressed). Your mood "tells" you something. Therapy will help you to identify unhealthy patterns of thinking about yourself and the world. You will be able to face the root causes of your anxiety and learn a new, healthier self-talk. It will help you reach long term effects.