Newbie Questions about Geneve 1970s

Hello, I've just recently bought this beauty off eBay, my first Omega and it's my first automatic. I'm really into vintage stuff and just fell in love with this peace. I have a few questions and would really be grateful for any info.
- Does this movement support mechanical winding? Because it freely spins in either direction without any resistance.
- If I shake it a 10–12 times it makes this strange vibration as if some spring just lost tension, is it normal?
- what is the power reserve for this cal. 1022?

I do plan on getting it serviced, as it was sold 'as is', yet I'd still like to know what to expect after.
Thanks!

It's cal.1012. A 1022 has day-date. The reserve should be the same.
The "strange vibration" probably comes from the rotor with a worn (or loose) pivot as you can see the circular scratch marks on winding and train bridges. It's also possible the mainspring has problem if you don't feel any resistance winding it.

Thanks for the replies, helped me a lot!
So I've been to the service, one screw for some reason has it's head missing, with other part inside the board. Cogs that connect to the winding rod are missing too.. So my best bet would be looking for the whole movement itself or just to wind by motion.

I could also try to pin point what is missing from comparing to some photos on the web and to buy just what's needed. Haven't decided..

will have to find one that would take upon himself this kind of task..

Agree with letting a watchmaker do it. This is not a first or second or third movement you should DIY. It has small screws and fairly thin parts that are easy to bend if not careful.

Best bet would be not use the watch at all until it’s been fixed. As already mentioned take it to a watchmaker “that’s what they do” fix watches.