“Viele” (many) is used instead of “Viele Menschen” (many people) which you could say if it wasn’t to long for this little sticker. Technically (!!!) one could say that you didn’t specify what you mean by “Viele” and that you could e.g. mean “Viele Äpfel” (many apples). But that doesn’t make any sense in this context, everyone understands that you mean “Viele Menschen”. “Viel” is an adjective and can indeed mean both much and many depending on the word ending. “Da” just means “here” in this context.

tl;dr: Translated correctly.