Translation:My suitcase is green, not red.
In the sense of collecting one's bags from the baggage carousel in an airport, then yes, I'm with Jack on this one.
Is a "walizka" always rigid? As it happens, the English (well, probably French) "valise" can be rigid or soft-sided.
Incidentally, I would for sure differentiate betwixt a "cap" and a "hat".