Ted drinks some milk and finds out it has gone bad, but Lily made pancakes and it is one of the main ingredients.
Marshall pointed out an Awesomeness motivational poster in Barney's office just a few episodes prior. However, here we get to see all of the posters in Barney's office, and the poster is not yet present.
At the beginning of the episode the narrator says that at Love Solutions a 600 GHz (gigahertz) supercomputer was at work. The fastest processor ever put in series production is around 3 GHz. However, this is likely deliberate exaggeration by the narrator based on the mistaken assumption that processor clock speed defines computing power.
Lily claims she is on her way to New Haven for an interview with an art school when she gets a flat tire in Duchess County. Even if she was completely lost, there is no way she would be in Duchess County which is an hour north of NYC on her way to New Haven Connecticut which is east of NYC.