Authenticity check on my new (to me) Omegas

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Hello all, I posted a quick shot of these the other day as a first post, but I did want to post a few more pictures with a slightly more detailed look at the watches. I wish I new about this message board before purchasing! Ah well, anyway, do you guys mind taking a look at these two and letting me know about them?

They were both claimed to have been freshly serviced, in fact I know the Dynamic was serviced at the very least because the date wheel changed from gold to white before I received it. I don't have the means to open it, as far as I'm aware, for a movement shot. Additionally I noticed that the connection point for the clasp and the lower part of the bracelet on the Geneve is a bit tired and the spring bar pokes through quite a bit more than it should, do these spring bars come in wider sizes? Thanks!
 
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Those are Omegas and not recently serviced.
Unless you mean recently geologically.
 
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The date wheel can easily be changed without servicing the watch, so unless there is a receipt for a service, it likely needs one.
 
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The date wheel can easily be changed without servicing the watch, so unless there is a receipt for a service, it likely needs one.
I’m looking at all the dirt on the case and some in the movement.
 
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I’m looking at all the dirt on the case and some in the movement.

The case open is not the one that had the wheel replaced.