The bar exam is only given in February and July. When Rick visits his parents in Kansas, it's snowing, and his mom is asking him to come home for Christmas. So either it's snowing in Kansas in July, or Rick's mom is making Christmas plans in February.
14:00 into the film there is a dream sequence with a Gorilla facing off against an astronaut in a grassy field. When the camera focuses on this astronaut, you can see the reflection of a developed area in his helmet, not the grassy field that is in front of him.