Kinetics of antibodies is the manner in which antibodies are produced. This has to do with the period after infection and the titre. As such, the pathogenesis of different viruses differ and so does the humoral response (which is what elicits the antibodies from the B lymphocytes). Viruses have incubation periods and this affects the antibody production. To answer the second question, it is very Ok to say that in a population challenged with the same virus the antibody kinetics is likely to be the same except for few individuals who may respond differently.
I would argue that it could be said for related viruses, but viruses work differently depending on if they are ssDNA, DNA, retroviruses or RNA viruses. In addition to genetic material, some viruses have other unique ligands that can interact with PRR's differentially, and these can alter the processes of APC activation and antigen presentation, and also production of cytokines, skewing the response to a humoral or more cell mediated defense. Also viruses replicate differently, some are lytic and some aren't, so you'd have different viral loads (ie antigen present) that would also alter antibody production.
However, these might just affect the magnitude and timing of antibody production so it might be that they follow the same basic model, and just different viruses alter these parameters.
I would say however that with the same virus in the population (of immunocompetent people) you'd get approx the same kinetics that lie around a central mean, but there are always differences.