QUOTE(soyabean123 @ Jul 18 2017, 05:11 PM)
Budget around RM5-6k per pax. Our purposes to visit Japan are shopping and Foods

I actually prefer to DIY, but since i never been to Japan. It will be very difficult to plan for the first time, plus recently my works are overloaded.
So, we decided to signup tour package from travel agency. Next time will be DIY then
and Yep, my mum is still can walk, run and jump.

A lot of different opinion from forumers

there's no right or wrong, only personal opinion of what is best.
While I always root for DIY, I understand your situation. First time to any country (that don't remotely looks like KL) can be overwhelming and confusing. Since you have decided on tour, I agree with it as well. Not just itinerary, but Japan requires extensive research if you plan to walk around on your own. I doubt I'll be able to go around on my own, had it not been my friends who led the trip in my first visit. Because they brought me around and I experienced the place, I was able to plan my 2nd and 3rd trip without worry. Its because I know what to expect.
For recommendation of agency, I'll root for Mayflower. Honestly speaking, I liaise with Mayflower on many occasions for event, trips (work related) and they are very professional. I'm not sure how much it'll cost for your trip to Japan, but you can rest assured that things are well taken care of with Mayflower. And they work transparently, so you don't have to worry about any hidden cost.
Last but not least, with your budget, go for packages with more Free & Easy. That will enable you to enjoy shopping and food more leisurely.