Also relatively short laws rather than a long regress into greater and greater complexity at higher and higher energies would be expected in a simulation (but would be very very weak evidence).

If we use Occam's razor, I think you got that backwards. Conditional on us not being in a simulation, we should be in close to the simplest possible universe that could sustain complex life. But it would be difficult for the simulators to figure out the simplest design that would get them what they want, and even if they could, they might choose to sacrifice some simplicity for ease of execution (e.g. wavefunction collapse, as Normal_Anomaly suggested).

Also, faster-than-light neutrinos could be a bug in a simulation.