The electrical outlet in India is typically 220 volts AC and at 50 Hz. In Kobe, it's 100 volts AC and 60 Hz. And of course, the plug shapes are different. The converter you need would be a step-up transformer.
Most computers today have a universal power supply, so it's likely it won't need a transformer. If the power supply says something like "Input: AC 100-240V 50-60 Hz," then you just need a plug adapter.
Television standards are different in countries. India uses PAL, and Japan uses NTSC, so your DVD player will not produce an image on a Japanese TV. DVDs are also region coded. India is Region 5, and Japan is Region 2, so your DVD player will not play Japanese DVDs. A Japanese DVD player will also not play any DVD you bring from India. If you're bringing a LCD TV along, the DVD player and TV will work as a unit. Again, though, an Indian TV will not receive Japanese broadcasts.
I would not feel comfortable using a large appliance like a refrigerator with a transformer. It may be a fire hazard. It would be much safer to just buy a new Japanese refrigerator.
==
A blender and a juicer should be ok to use with an electric converter (transformer and plug adapter). If I understand a barbecue to be an electric grill, it might be using too much electric wattage to be safe. At best, it might blow the fuse on the transformer. At worst, it could be a fire hazard.