No. Sony MBH20 do not have volume control button. You cannot increase or decrease call volume but you can use your mobile phone's call volume control button for the same.
Yes, You can use Sony MBH20 with Nokia 3310.
Yes, You shall receive USB Cable for the same as part of the standard packaging.
Sony MBH20 has 10 meters range.
It takes about 1-2 hours to fully charge Sony MBH20.