Would successive rejections of different papers by the same journal lower the probability of acceptance of the next submission to the same journal? I have tried to submit some of my papers on unrelated topics to a journal and gotten rejected, either desk rejection or rejection after peer review, by the journal. Recently I worked out a new paper and would like to submit it to this journal again.

The reasons for rejections have never been elementary ones, say "poor English" or "of poor quality" or something like these (I know all these reasons from my peers). For most of the time parlance such as "the results are not significant enough to warrant publication in ..." is the reason. 

Then I would like to know: Does my records in that journal significantly affect the viewpoints of the editors on my current submission?
My guess about the situation is that your prior rejections will not significantly affect the editors' opinions on your new submission.

However, the fact of your prior repeated rejections is evidence that you are misjudging the suitability of your papers for that journal, either the aptness of the topic(s), or the level and quality. Thus, if I had to wager, I'd bet that you'll be rejected again... not because you were rejected before, but because the factors in play that led to your prior rejections will most likely manifest themselves in the present case.

So, really, you should get more-specific advice from an advisor or mentor about appropriate venue(s) for your papers, as well as possibly critiques of the writing style.