Change of residence status (married to Japanese citizen) from student visa, tax confusion

Hi, I recently married my Japanese national spouse. I'm on a student visa since January 15 2024, have had permission to work under 28 hours a week. My status expires in February of next year. A few things:

I worked for my family's business which is located in the USA and make roughly $35k a year. It's an online job of course. However, I'll be losing this job next week so I'll be unemployed.

Now, we're applying for the residence status change and I'm concerned about my tax status. Please help me figure this out so I can take care of it and/or not worry about it.

We'll apply with my wife being the guarantor, and I'll list that I bring about 125k a month from my American savings to cover rent and expenses.

1. National health insurance – paid up
2. Residence Tax – checking on it but haven't ever received any notice about it, moved from Setagaya to Nakano this April. The folks at the Nakano ward office told me I have to ask the Setagaya ward people and I'm going there this week to double check.
3. Pension – only recently learned that I had to sign up for it – I've been here since Jan. 2024. So, I have a lot of back payment slips to take care of. I was told by the tax office I'll probably be exempt for the first year but not this year and I've yet to receive a decision regarding whether or not I'm exempt.
4. Actual taxes that are due in March – I haven't submitted anything for this.

What do I need to do before I apply for this residence status? Will my information matter or will it just be my wife's? She works full time and makes roughly 4.5 mil a year, we share an apartment and have been together for about one and a half years.

Thanks for the help.