Yes it does. Perhaps they chose ”strangers” because it's etymologically related to străinii and that might help you to remember it, even if ”foreigners” would sound more natural in English in this sentence.
Yes but we would say foreigners or strangers visit a lot, but not use the definite article (or do they in the USA?)
Actually, the first I is the suffix for the plural form, and the second one is the definite article ;)
The whole point was we were asked to add a word from a picklist and the Romanian for strangers and the strangers were on it. So i picked strangers rather than the one for the strangers.