From this episode on, the driveway pavement has a crack running across its entire width. This is where the house and surrounding earth was scooped out and transported to another dimension. Rick, Morty, and Summer didn't bother to fix it when they froze time and cleaned/repaired the rest of their house after their party.
A staircase creature from the episode "Meseeks and Destroy" is visible at the party.
Rick mentions " blomp blompa noop noop anoop noop noop" by Tiny Rogerts. He means the 1955 Little Richard song "Tutti Frutti", which begins with "wop bop a loo bop a lop bam boom".
The credit card which Rick uses to snort the crystals is numbered 1234123412341234.