[noun] + を問わず [noun A][noun B] + を問わず [noun A] + か + [noun B] + か + を問わず [verb (plain)] + かどうか + を問わず
を問わず means "regardless of": what the sentence says holds whatever the value of the noun in front – any age, either sex, all weather. It goes straight after a noun, which takes を; とわ問わず is the written negative of とう問う, so literally "without asking about".
The noun has to be a range of possibilities – age, gender, weather, experience – not one particular value.
Two opposite nouns can go side by side with no particle between them: だんじょ男女, ちゅうや昼夜, こくないがい国内外, うむ有無.
With longer options, each takes か, and a verb takes かどうか.
を問わず belongs to job ads, notices, rules and news. にかかわらず is about as formal and also takes verbs directly (いく行くいかない行かないにかかわらず). In conversation, say にかんけいなく関係なく.