Lithium you seem to be addressing a point from a rather comfortable pre established fact that you cannot possible know. The semen(please call it that because thats exactly what it was and not sperm) was found on the t-shirt that was found at the scene. The amount of semen seems to have ranged from the microscopic to the miniscule or to put your own spin on it not able to be seen by the naked eye. There is nothing to say just how large the stain was, although this stain as per the prosecution/investigations case was large enough to transfer from the front of the t-shirt to the inside upper cup of the bra Jodi was wearing at the time.
The forensic team at the time noted the strong smell of detergent coming from the garments gathered up , including the t-shirt. In the process of obtaining DNA from semen a mild detergent is used to break up the lipids so that the solution namely semen can be broken down and what is left are sperm cells that are able to yeild a full profile for DNA examination purpose's. If this t-shirt had been washed then no SEMEN stain would have any relevant reason to exist on this garment, there is a sufficient case to be put forward for innocent transfer of sperm(singular or multiple spermheads being present) for various reasons and some of those you have stated here. I believe even a handshake could in essence transfer various different sources of DNA between two individuals as that is indeed the foundation of the science of DNa to begin with.
I noticed you have managed to not discuss the blood sample as this is not so easily explained away(exept simply just stating you have never heard of this sample before). It does however exist and despite anyones efforts it will always remain. On a t-shirt saturated with Jodi's blood the forensic team managed to not only detect but to firmly establish a full profile of DNA from a blood sample that came from S.Kelly. although If I remember correctly someone tried to explain away the rain that evening washing away Lukes DNA but managing to preserve the DNA an other individual.
The various alibis for S.Kelly are infact Jodi's sister herself and as I will concur with yourself that it would be insensative to try and link someone connected to Jodi to try and cover up for her murderer it would not be beyond possiblity. Only this week alone and sadly too many times in the past have we seen family covering up for those who have carried out some of the most vile acts upon members of a family. The young 12 year old girl found in her Grandmothers house is testimont to that.