Getting Started as a New Grad On Working Holiday

Hello. I'm a 24 year old from Ireland who has an undergraduate in theoretical physics and a postgraduate in statistics from what most consider the best university in Ireland (still not really that good on world scale).
I am on working holiday in Japan and I'll be going home on the 22nd of December. However, I would like to work here for a few years in a real job. I was hoping to do some entry level software development job and am curious how realistic that is these days. I have been graduated 6 months now so I'm not sure if that lowers my chances. I know my masters is in statistics but I actually like development more so I would kinda prefer sticking to that area.
Is there any path that I can follow between now and December that would allow me to stay in Japan and work for a few years as a Dev?
Appreciate any responses, Thank you.

Edit: I forgot to add that I am quite proficient in Japanese. I never had interest in the JLPT till last year and due to this I don't have any qualifications other than failing the N1 by 15 points last December. However I am very confident that I could pass N2 and relatively confident that now I could pass N1. I just haven't gotten the chance to sit them. I should have done N2 last year but oh well.

by Goldeyloxy

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