“Lies My Babysitter Told” (** out of four) was a placid suspense thriller about a woman (Nicole Marie Johnson) who is returning to work and hires a neighbor’s son (Daniel Di Amante) to watch her son but soon finds that her husband (Ben VanderMey) and him have a secret that envelops all of them. Professionally mounted and acted but logy and remote and never catches fire. Originally titled “Your Baby Or Mine.”