Well if they are able to get you sponsorship into the company i don't see why you can't get the job. Since you already have education and experience in Computers it is showing that you have at least knowledge in the work you may be getting. Educational requirements (like degrees) for work in Japan usually come from the Employer who will want to hire you, and on your behalf provide the Immigration office with the Certificate of Eligibility.

It's still a confusing process, i don't understand it fully myself but i don't think you should have a problem getting a visa as long as if the company itself wants to sponsor you. (whether if Immigration grants the visa, i dont know 100%)

The visa you would most like fall under would be Engineers Visa. Since you will be dealing with matters related to IT and Engineering.

At the end of the day there is no harm in going for it. And also there is no harm in getting touch with your countrys local Japanese Consultate to ask them regarding this (they would know more information regarding the situation)

All the best.