have you ever seen a red, yellow and black roach?

[Gato Moteado]

well, now you have:

[Walleye]

1. Like the one that was waiting beside me on the Lexington Avenue platform and stepped onto the train when it arrived

kidding. Cool shot of a neat looking bug.

[Ponietz]

2. Beetle or roach?

That looks like a firefly beetle, not a cockroach — likely in the Pyrophorus group or a related click beetle/firefly-type beetle found in Costa Rica.

[Gato Moteado]

3. it's a rochaina species here in Costa Rica...

...definitely a roach. but, yes, it's likely a click beetle mimic. the first time I saw one I thought it was a colorful click beetle...until I say it scurry and fly like a roach!

https://cockroach.speciesfile.org/otus/860918/overview

[HAB911]

4. Cool!

Doesn't creep me out like our Palmetto Bug roaches

[George McGovern]

5. Beautiful photo Gato. According to googleimages, it's a Paratropes bilunata.

Paratropes bilunata (commonly called the Beautiful Day Cockroach) is a stunning, vividly colored species of forest cockroach native to Central America. Known for its striking contrast of colors, they feature highly patterned wings, often displaying a mix of deep oranges, yellows, or creams set against a dark black or brown backdrop. Their bright coloration is thought to be a form of aposematism, signaling to predators that they are unpalatable.

These insects thrive in the lush, humid environments of tropical rainforests, most notably in Costa Rica and Panama. They spend their time foraging on forest vegetation and leaf litter. Unlike common household roaches that scurry away to hide from light, Paratropes are diurnal (active during the day) and possess wings capable of strong flight. Like many other wild roaches, they play an important, beneficial ecological role by breaking down decaying organic matter and returning nutrients to the rainforest floor.
google.com