Since we're still waiting for the qualification documents for almost all sports (hopefully they will be released during their general meeting in August), here's an overview of the quotas available at the Pan American Junior Games.
The first set of quotas are awarded to the gold medalists of the following events. These are tied to the athlete by name. Should their respective NOC decline the quota or the athlete is selected from a different quota, then the quota is lost and will not be reallocated to the silver medalist.
Archery - M&W Individual Recurve, M&W Individual Compound
Athletics - All individual events (38 total)
Badminton - M&W Singles
Canoeing - M K1 1000m, W K1 500m, M C1 1000m, W C1 200m
Cycling - M&W BMX Freestyle, M&W BMX Race, M&W Cross-Country, M&W Road Race, M&W Time Trial, M&W Individual Sprint, M&W Keirin, M&W Omnium
Diving - M&W 1m Springboard, M&W 3m Springboard, M&W Platform
Fencing - M&W Individual Epee, M&W Individual Foil, M&W Individual Sabre
Golf - M&W Individual
Gymnastics - M&W Artistic Individual All-Around, W Rhythmic Individual All-Around, M&W Individual Trampoline
Judo - M -60kg, -66kg, -73kg, -81kg, -90kg, 100kg, and +100kg, W -48kg, -52kg, -57kg, -63kg, -70kg, -78kg, and +78kg
Karate - M -60kg, -67kg, -75kg, -84kg, and +84kg, W -50kg, -55kg, -61kg, -68kg, and +68kg
Rowing - M&W Single Sculls
Sailing - M ILCA 7, W ILCA 6, M&W iQFoil, M&W Formula Kite
Shooting - M&W 10m Air Rifle, M&W 10m Air Pistol, M&W Trap, M&W Skeet
Skating - M&W Artistic Freestyle, M&W 200m Time Trial, M&W 500m+Distance, M&W 1000m Sprint, M&W 10,000m Elimination, M&W Street Skateboarding
Squash - M&W Individual
Swimming - All individual events, including open water swimming (30 total)
Table Tennis - M&W Singles
Taekwondo - M -58kg, -68kg, -80kg, and +80kg, W -49kg, -57kg, -67kg, and +67kg, M&W Individual Poomsae
Tennis - M&W Singles
Triathlon - M&W Individual
Water Skiing - M&W Trick, M&W Slalom, M&W Jumps, M&W Overall, M&W Wakeboard
Weightlifting - All individual events (10 total)
Wrestling - M Freestyle -57kg, -65kg, -74kg, -86kg, -97kg, and -125kg, M Greco-Roman -60kg, -67kg, -77kg, -87kg, -97kg, and -130kg, W Freestyle -50kg, -53kg, -57kg, -62kg, -68kg, and -76kg
The second set of quotas are awarded to the gold medalists of the following events. These are given to the NOC where they may select athletes not from the gold medal winning team. If the quota is declined by the NOC, it will not be reallocated to the silver medalist.
Field Hockey - M&W Tournament
Handball - M&W Tournament
Rugby Sevens - M&W Tournament
In volleyball, things are a bit different, the quotas in M&W Beach Volleyball and M&W Indoor Volleyball will be given to the highest ranked teams in CSV and NORCECA.
Funny enough, the gold medalists of 3x3 basketball would have qualified, but the sport has been dropped.