I immediately thought Nolan was using sex with Tyler to get intel he could use against him later. The "free" sex was just a bonus, no doubt. I do hope we eventually get some flashbacks that explain the connection between Nolan and Amanda or Nolan and Amanda's dad, because he has a very strong big brother attitude towards her (in addition, I think, to finding all the plotting just fun to do).
It is interesting the way people have such loyalty to Amanda -- not only Nolan, but the warden and the real Emily. The real Emily was willing to assault (and possibly kill?) a threat to Amanda, even though they had not been in touch for years. She looked genuinely thrilled to see Amanda again -- like finding a long-lost sister. There seems to be something about her that inspires tremendous loyalty, which I find fascinating since the way she is portraying herself right now, you get no sense of why that would be since she is rather cold and distant.
I don't think Amanda loves Jack -- how could she? She's spent next to no time with him. Plus he's way shorter than her. LOL
I think she may indeed be falling in love with Daniel and her death grip on the swing during their kiss was to, in effect, keep herself from swinging too far and losing grip of her ultimate goal. It would be easy for her to fall in love with Daniel and choose to forget her revenge plot-- that would be the easier path, but she's determined to get revenge, so she has to keep herself steady and grounded.