Prevent All Soring Tactics Act of 2019 or the PAST Act This bill addresses the practice of soring horses. The soring of horses includes various actions taken on horses' limbs to produce higher gaits that may cause pain, distress, inflammation, or lameness. Specifically, the bill expands soring regulation and enforcement at horse shows, exhibitions, sales, and auctions, including by establishing a new system for inspecting horses for soring. In addition, the bill increases penalties for violations.