Perth Amboy is a great, dense area for a ton of Central and South American restaurants. The highest concentration of restaurants are DR food spots, which are typically in the lunch tray style you’ve described.
Just to name a couple other suggestions:
PR (Lito Sofrito, Torres Cafe)
Cuban (Cuban Cafe)
Peruvian (SE Salio, Latin Grill)
Mexican (Rico Taco Mix)
Salvadoran (El Shaday)
Colombian (Alquimia Bakery)
Outside of North NJ/Perth Amboy for PR/Carribean food, I’m a big fan of LaLa’s Puerto Rican Kitchen in [NJ, Old Bridge]