It's a tough time economically, for sure, especially in Japan. But there will always be some stuff going on business-wise for someone with the right skill set. Since you're married to a Japanese citizen, you should have no trouble getting a visa that will allow you to do any kind of work you want without needing company sponsorship. And since you're not going to be hard up enough that you have to accept whatever comes along, I'd say you're in good shape.

As for asking for help -- just position your request differently. Instead of saying "I need a job and I'm hoping you can find me one", say something like: "I'm still quite capable of being an asset to some company but I haven't had a chance to build up contacts here yet". The Japanese understand networking and building contacts very well. If you approach the subject with the attitude that you have something substantial to contribute but you just don't know who might need your expertise, you won't come across looking like you're expecting a handout. Rather, you'll fit in with the "ganbare" spirit that Japanese like to exhibit in their business dealings.

And... with your financial cushion and depending on what your area of expertise is, you might be able to open your own business or hire out as a consultant/contractor. If your Japanese is reasonably good, that's another possibility. Even if you don't land a full-time gig right away, part-time and/or temporary positions are good opportunities to build up your contact network.

And if you supplement your search by attending meetings and/or seminars of groups associated with your chosen profession, it can't possibly look like you're expecting a hand-out from your in-laws. Plus... who knows... you might find interesting work even without your Father-in-law's help. And if you're still concerned how it might look to ask for help -- you can always turn it around and drop the hint that you've been building up contacts on your own but have yet to hit upon the right opportunity -- I wouldn't be at all surprised if your F-in-L didn't offer to introduce you around even without asking. That's very Japanese.

It sounds like you're in fine shape. Good luck on your new adventure.