No. The batteries are not detachable. You plug the charger directly into the vacuum or use the docking station.
#3 Dust cup will not open,, it looks different than the sample shown.. it is a press to open not a slide to open as shown, is mine an older design ?
Mine works fine. The release switch for the dust cup is immediately under the on/off switch on the front of the vacuum. I just slide it down and it releases the cup.
Yes it’s included, Duster Crevice Tool, Pet Multi Tool, Side-by-side Charging Dock. Made very well and light weight, convenient and does the job. I love this compact stick vacuum.