media have...
media has

which one is correct?

Media is plural and medium is its singular forms: Media HAVE
Very often nouns coming from latin and ending with A are plural, another example is data: Data HAVE

'media' isn't as simple as it seems. in the strict, language-purist sense, yes, it's plural, because that's the way it works in latin. however, the oxford english dictionary, that most august source of language advice, says:
In practice, in the sense ‘television, radio, the press, and the Internet, collectively,’ media behaves as a collective noun (like staff or clergy, for example), which means that it is now acceptable in standard English for it to take either a singular or a plural verb.
there you have it. (fyi, this blurb comes after a blurb informing you that 'traditional usage' is plural.)