Yes, this is the new model of Nokia 3310 - also known as Nokia 3310 2017 Edition.
Yes, Nokia 3310 does have bluetooth.
No. You cannot record calls in Nokia 3310.
Yes, you can create contact groups in Nokia 3310.
Yes, you can assign picture to contact profile.
There are a few things that do bring back the feeling of owning an original Nokia 3310, such as the classic Nokia ringtone, the physical buttons, the tiny body, and solid build quality.
You can buy other feature phones for less than this, and the new Nokia 3310 doesn't justify the extra outlay over the simple nostalgia card it's playing.