Real or fake speedmaster

I’m looking for a bit of advice on a Omega Speedmaster Date (ref. 3211.30.00, cal. 1164) that I’m considering buying privately.

I’ve been sent a few videos and photos from the seller and just wanted a second opinion before going ahead.

Details:

• Full set (box + cards)
• Serial on case matches the cards
• General condition looks good with some normal wear
• Price agreed: £1,400

My main concern:
The seller has sent videos of the date being changed manually, but across a few different videos on different days the date appears to stay the same. I’m unsure if:

• The watch hasn’t been running, or
• The date isn’t advancing automatically overnight

I’ll be checking this in person by rolling the time past midnight, but wanted to get opinions from anyone experienced with this model.

Questions:

1. Does everything look genuine from the photos/videos?
2. Is the date behaviour something to worry about on this movement?
3. At £1,400, does this seem like a fair deal given no service history?

Any help would be massively appreciated 👍

Thank you😃