Team City / Program Name
Typically this is the name of the city / town where your team is from. So if your team is part of the "Anytown Youth Sports Association", then you would just enter Anytown.
Team Nickname
If your association or team has branding, such as "Bears" or "Tigers" or "Blue Jays" then that's what would be entered here. Also, if your association / program has multiple teams in the exact same age group and skill level, then add something here to let us know which team you are (eg. "Bears 1" or "Tigers Black")