Yes, Nokia 3310 is supported by Bluetooth 3.0 and A2DP.
Yes, you can assign picture to contact profile.
Nokia 3310 dimensions are 115.6 x 51 x 12.8 mm (W x H x D).
Yes, you can record videos.
Yes, Nokia 3310 comes with Bluetooth 3.0 version.
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.