Go to Gaijinpot (search on google) and look job vacancy there.
There's lots of open position in Tokyo that are are to fill-in but some industry are on demanding now and very competitive between the locals and foreigner.

My recommendation is to take Japanese course, learn the basic conversation and also business conversation just incase the some company require their employee able to speak Japanese with their colleague.

Yes it is. Most jobs you need it. Its easier to get a working visa if you have a degree. If not you need to proof that you have tons of working experience.

Next year they have a new type of visa for certain fields that do not need any degree. Mostly hard labour job though. You can check it out.