Let me give it a shot:
Yes, the hardware is assumed to be relatively "vanilla" x86-64 CPUs. We don't believe there's a need for special accelerators (GPUs, Phis, etc.), at this time.
This will depend on LCO and community organization. LSST will transmit alerts to all potential transients, and it's certainly possible to fully automate follow-up, but whether one does that will depend on what each particular observatory wishes to do (and how pure our stream is, etc.).
This is not about image processing, more about the combinatorial problem of "connecting the dots" along Keplerian orbits in so-called "MOPS" codes. Take a look at https://www.slideshare.net/MarioJuric/lsst-solar-system-science-mops-status-the-science-and-your-questions, and also Kubica et al. (2007) (https://arxiv.org/pdf/astro-ph/0703475.pdf).
I think that cadence optimizations sims do try not to prefer a specific time scale (or create potential for aliasing), but I'd leave it up to @ivezic or @ljones to answer in more detail.
Hope this helps!