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I would define being in shape as having a decent amount of cardiorespiratory endurance. In terms of distance-time, I would categorize decent-good shape as ~3:00 800m (1/2 mile), ~6:30 Mile, ~14:30 2 Miles, ~24:00 3 Miles. These are all levels of cardiorespiratory fitness anyone can attain, provided they aren't overweight. If you can do these, I would say you are in pretty good shape. Definitely not good for an endurance athlete, but for basketball, general health ect. Working on getting to this level of fitness will not have any negative impact on vertical/ power output, in fact it could help condition the tendons for more explosive work.

I put on my Running shoes yesterday and ran 30 min with 4.43km..
Got home, shower and weight myself.

and the Electronic scale shows 188.6lbs  at 19.8% BF  

from what I read, in order to burn fat, cardio must be done over 20-25 min.  
but I also read that, endurance running change ur muscle turning it to slow fiber which sucks up vertical power.

As a result, I will limit myself into 30 min per running session, may be I should aim for increase the distance/intensity within the 30 min time frame for fat burning purpose.

Not sure if that is the right way...

You should definitely stick with running for a few weeks at least. Not being able to do 3 miles in 30 minutes is very bad and definitely means you are not in shape at all. Get down to running 3 miles in ~24 minutes and you should feel much better and jump higher

Barbell Avishek drops - you drop from 40 inches with a 1RM loaded barbell on your back, go full (none of this sissy "quick jumping" depth jumps - go full OR ELSE) and jump up. It really loads up the legs nicely.

Dude why the fuck do you make so many of these pointless empty posts. You're not funny and think you're smarter than most of the people on this forum. You know everything about training for jumping, have 5000 posts, yet cant dunk a regulation hoop with a normal sized ball. I'd bet 100 dollars you've never been laid in your pathetic life.