I did the first page until footnote aleph. It’s a bit academic since I wasn’t quite sure what you needed it for.
You can’t translate this kind of thing without some interpolation. Any words that I added for explanation are in italics. Verbatim quotes are in bold. Translation probably has more background info and stilted academic English than you need but it’s there to help anyone who wants to use it.
We begin with the gemara under discussion:
This mishnah is only dealing with long-term relationships like the RaMBaM’s description of a concubine. However, if the relationship was casual, chazal suspected her of having other relationships and therefore could not determine that the child was in fact his and therefore is not considered an heir for yibum and chalitza. In fact, the child is not considered acknowledged even if they were in jail together the whole time because of the halachic axiom of ??? ????????? ?????? .