I don’t think it’s a question of whether your behavior is normal or abnormal. Almost everyone has concerns and worries but some people have more than others.
Some of what you’ve described indicates that you may be more nervous and anxious than the average person. Due to these uncomfortable feelings you may be engaging in compulsive behaviors in an attempt to make yourself feel better. These compulsive behaviors may include hand washing, constantly checking the Internet and picking at your face. These behaviors may temporarily make you feel better. In the long run, however, they may actually make the anxiety worse.
What you may be describing are symptoms of obsessive compulsive disorder (OCD). The good news is that OCD is a very treatable condition. I would advise you to have an open and honest conversation with your parents about the behaviors you wrote about. Speak to them about the fact that you often feel uncomfortable and anxious and that sometimes, as a way to make yourself feel better, without consciously realizing it, you engage in behaviors that you have difficulty stopping.
It would also be helpful if you met with a counselor and discussed some of the anxieties you have. The counselor could teach you a more appropriate response to anxiety. He or she could also teach you how to stop the obsessive thoughts. In the meantime, you could try to stop yourself from focusing on things you don’t want to think about. For instance, when you realize that you are engaging in obsessive thinking or an unwanted behavior, you could attempt to focus on a less anxiety-producing topic, call a friend or family member to distract yourself or find some other way to divert your attention. You can try these methods but I think the best plan for you at this point is to speak your parents and let them help you deal with this situation.
I want to stress again the importance of the seeking help. I say this because I know that with effective treatment this problem is easily corrected. If you’re interested in reading more about OCD please click here or here.
I wish you well.