In (1), I would be more likely to say "luggage". Everything else seems fine (apart from the small matter of the missing full stop).
New words, one handy idiom, and a 2-minute quiz — delivered to your inbox to keep your streak alive.
tamguatlayI think "baggage" is American English.In fact, "pieces of luggage" seems to be a lot more common nowadays in AmE too, if you believe this data:
CalifJimOn the other hand,https://books.google.com/ngrams/graph?content=baggage+claim%2C+luggage+claim&year_start=1800&year... CJThis pattern is similar for British English too, so neither of the phrases seems to show