May have caused, or might have caused cannot be present in sentences in which you are writing about problems which can appear in the future /potential problems. However, if you're sorry about problems caused in the past , then you can't use may cause and should use the other two.
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Anonymoushas, or may causeNo. You can't do this one because the auxiliaries 'has' and 'may' take different forms of the verb.
Anonymoushas caused, or may causeYes. You can do this, but don't use a comma. has caused or may cause.