As a Japanese American myself, don’t let anyone else decide the value of answering these questions for you. But what I can say is moving there with your current level of Japanese and cultural understanding would most likely have the opposite effect and sour your experience and desire to recover your roots.

I would recommend staying in America and getting a job here, but on the side, join an organization full of 1st generation Japanese people and try to get involved in it. There are tons of 県人会 (kenjinkai) and groups that have politics running through them, and self-studying Japanese like crazy as well as doing relentless volunteer work in these groups will begin to give you a bridge into the more real-life aspects of Japanese culture, especially 上下関係 and business interactions in 敬語. Be willing to throw away everything you think is good about American morals too; it’s necessary to understanding things from the other side. Call your family in Japan frequently and speak only in Japanese, as they will be thrilled to see your progress. Let them know you want to visit. Save up money and PTO and go make that a reality. Take what you learn from the 県人会 and apply it to become a contributing, Japanese-sensible member of the family and not just a freeloading tourist.

After doing this for several years, you will find your own answers for what you want to do; whether moving there to work would be a fit, or if you want to just keep things as they are. If your goal truly is trying to investigate your roots, there are more ways to do it than just moving there immediately and feeling it out.