At 20:58 minutes into the movie Nick puts on gloves, is shown wearing them for the next scene - then at 21:14 he puts them on again.
When Mrs. Gibbons sees the planets hanging from Mia's room, she comments "They are spaced right...it's to scale." But they can't be to scale AND spaced right, and neither is true. At the approximate scale of Jupiter as shown (10"), Neptune would be over 4 miles away, and only 3 inches in size.
Movie takes place in Chicago. When transitioning from scene to scene there are various views of Chicago skyline. But earlier in the movie there is an error where they show skyline view of Minneapolis.