Submitting an unsolved-problem paper to open access journals
If a person without good records and with bad records (many flawed papers on arxiv) submits a paper which claims a proof of the Riemann Hypothesis to a traditional journal, then will it be ignored certainly?


This person will have to make a very, very, very convincing case in order to be taken seriously. See I believe I have solved a famous open problem. How do I convince people in the field that I am not a crank?, especially the answer by Kaveh.


  If so, then will it make any good for him to submit it to an open-access journal which accepts articles in two weeks?


This will not lead to the paper being taken seriously by the research community. If that is your goal, don't waste your money.