I don't think any of the characters were rehashes of the original. In fact, I think this is the one area where they drew a line in the sand and differentiated themselves.
Luke was a whiny, shielded farm boy who knew very little about the outside world and pretty much trusted everyone he met. His story is one of disillusionment with grand adventure.
Rey is a scavenger, rough edged and street smart. Someone who is as afraid of adventure as she is in need of it.
Finn and Leia are pretty much nothing alike. Other than the "love interest" scenario, which is itself a very high-level comparison. Leia was a strong-willed rebel unafraid to take a stand. Finn has been raised and "educated" to be a slave of the First Order. He's learning to be an individual and face his fears. I believe the next film will dive deeper into the "education centers" that Finn was subjected to as a child.
While Poe is a great pilot, he's not a curmudgeonly scoundrel like Han. He's someone who deeply believes in the cause that he's fighting for and willing to sacrifice himself for it. Other than being a good-looking pilot, he's nothing like Han. I do hope they dig into his character more next film, as his origins are very interesting.