It's worth note also, that because you are 13, that's an age that your body is doing a lot of changing, and that means your sensory system is changing too. It's an age that it is more common to have things get worse or better during, certain symptoms getting worse and others getting better. Puberty is a big deal for those of us with SPD.

You can probably find ways to make people not think of playing with playdough so weird as you get older if that matters to you. For example, you can make playdough games with friends (http://chopper.teamhifi.org/claydonia.html is a game I've played in college! Playing with playdough was entirely expected!)

Or you could just carry a small can of playdough with you always.

I often carry theraputty with me.

I do recommend talking to your parents and your doctor and seeing if you can get into occupational therapy. There are things that can be done to make things like touching paper less terrible. That's an issue I have too, though less extremely than you - my tactile issues are primarily not paper.