No. Sony WS623 comes with non-removable battery.
Yes, Sony NS-WS623 is meant for the rough usage and it is both - waterproof and dustproof.
Yes, you will get a pair of normal earbuds and a pair of swimming earbuds.
No. It does not have remote control.
Yes, it does have fast charging. Charge it for just 3 minutes and it will work for another 60 minutes.