Donald Pierce:
The famous actor Boyd Holbrook (of Narcos fame) is a cyborg supervillain Donald Pierce (the name is taken directly from X-Men comics) who is running a unit of criminal cyborgs hell-bent on mutant’s blood. His business card revealed that he works for a company called Transigen. Further, Donald Pierce appeared as a high-ranking member of Hellfire Club of Emma Frost and Sebastian Shaw (the villains of X-Men: First Class).
The Statue of Liberty:
Prof. Charles Xavier mentioned to Logan there is a meet-up planned at the Statue of Liberty, Logan replied it was a long time ago. This is a reference to the original movie when Logan experienced a victory with friends by his side, indicating how much things have changed since the old timeline.