Hello
Your infrastructure and your ideas are smart, timely and wonderfully clear. I am going to have good times to play with it!
I am currently taking one serious course on blockchain development (guess which?) after a couple of year being interested in it.
Can you point me out the code and the doc that interact with the blockchain?
Depending on which aspect of the Blockstack architecture or ecosystem you want to explore, a good starter kit is here: https://docs.blockstack.org/ as it categorizes deep dives well.
In addition, it has in context reference links to the repos. Let us know if you have any questions or feedback.
The documentation is very good! But I love to dig the details 
I had a look at the whitepaper but I do not really understand who is running the nodes of the network.
Is possible to run a full node?
yup. The documentation links to the github a few times. The instructions for how to run your own node are here: https://github.com/blockstack/blockstack-core If you want to look at the code then our github is probably the best place to start.