Firstly, the Cubans don't care about the US's restrictions at all, so you'll have no problems with them.
When it comes to the US, anecdotal evidence suggests that US citizens won't face legal repercussions in practice (though they may be asked what they did in Cuba and/or be yelled at)
As a foreigner, however, you are much more vulnerable - you have absolutely no rights at the US border. In essence, if they don't like something you did, they can simply revoke your visa and status on the spot, send you home and ban you from re-entering (or even changing planes there) for many years to come (although as a visa holder, you can appeal through an immigration judge - whether that would be likely to be successful, I do not know).
Of course it will depend on the person you get at the booth, but visas have been revoked in the past for even lesser things, so the possibility, although perhaps not very high, is very real.
From the Department of State website:
The regulations require that persons subject to U.S. jurisdiction be licensed in order to engage in any travel-related transactions pursuant to travel to, from, and within Cuba, or that the transactions in question be exempt from licensing requirements. Transactions related to travel for tourist activities are not licensable. This restriction includes travel to Cuba for tourist activites from or through a third country, such as Mexico or Canada. U.S. law enforcement authorities enforce these regulations at U.S. airports and pre-clearance facilities in third countries. Travelers who fail to comply with Department of the Treasury regulations may face civil penalties and criminal prosecution upon return to the United States.
Someone I know is a US green card holder (i.e. permanent resident) and was allegedly (though it's not yet confirmed to me) very close to being deported from the US for life after he was caught at the border with a Cuban passport stamp (in February 2016). Fortunately he's rich and could afford an excellent solicitor, whereby the immigration judge (narrowly) decided to suspend his removal proceedings.
"Yet I do not have any official documents (from the USA or Cuba)."
You need to get something from your educational insitution. You are allowed to go to Cuba licenced, but you need to be able to prove at the US border that your visit was in fact licenced. It's very strange that no evidence whatsoever has been provided by your insitution.