It's 2048.... 30 years into the future yet they're all driving around it spotless, pristine 2018 Range Rover Discoveries. Product placement nonsense. (oh, and Costa Coffee survives the imminent end of the world.. with the same logo)
When Rick first gets sick his wife Abi helps him into bed she then goes around to the far side of the bed gets into bed fully dressed, pulls the covers up and puts her arm around Rick. When she releases the cover to put her arm around Rick she has a shirt on but when her arm wraps around Rick one second later her shirt is gone.
When the hero starts bleeding from the eyes, he and his wife are in bed. She gets him up and calls the ambulance. She is wearing a tee shirt with nothing underneath and it has her husbands blood on the right breast. Later when she's packing she has a bra underneath the tee shirt, then when she runs out of the house the bloody smear is on her left side.
After the first pool scene, Lt. Rick Janssen reads to his son "nitrogen which can be used to produce breathable oxygen".
Nitrogen being a "pure" element (ie not a compound) and so being oxygen, it is not possible to "produce" oxygen with nitrogen.
The atmosphere of Titan obscures Saturn from the surface of the moon. If it was possible for Rick to see it, Saturn would appear only half as large as shown. Also, Titan's orbit lay in the plane of the rings, so seeing them from Titan isn't possible as they are on edge to the moon.
When an M.D. is awarded a certificate or degree, They are presented with their name followed by the suffix "M.D.". Abigail's "certification" for being a pediatrician near the beginning of the movie while she is unpacking shows her name as "Dr. Abigail Janssen"