Thx for the answer, First of all my HDD writing speed is 20 Megabytes/sec, b) My PS4 reads or detects my HDD about 1 to 2 seconds after I plug it, c-e) I think all of them are in excellent state even the USB ports.
I'm not sure if my USB of my HDD is 3.0, but it does show this when I plug it in my laptop that my HDD USB is 3.0 in notification tray.
But yesterday I managed to :
1- Recopy the target PKG to my HDD
2- Change the (micro-USB to USB) transfer cable (to other one that didn't come with the controller) [This cable is required to connect my HDD to my PS4]
3- plug it on the right port (previously I was plugging it on the left).
4- Rename the target fPKG (shorten its name)
5- removed any other pkg on root folder except the the target PKG.
Finally after doing this, I tried to install again and wow that was quite a difference. the installation time took a quarter than usual and even the error CE-36244-9 is just ... gone.