Vintage Seamaster 1958 spare part & Omega Geneve

Hello everyone,
I'm just signed up in forum, due I have some question to seek for help. I'm not a watch maker, so my apology if my information provide was not enough, due I cannot perform some action like open back case to avoid damaged vintage movement.
1. I owned 1 Omega Seamaster (maybe it from 1958) with an bumper cal (maybe Cal 501), cos It's got small vibrate and sound when I move my hand. It's from my grandpa, with damaged case, very old dial and hands.
Should I replace the new genuine part like Case, Dial and Hands ?(I wish to do so)
And if possible, where would I can find those part ?

2. I bought an vintage Omega Geneve (maybe it fomr 1968), cal 565. I'm see that the dial, case, and hands still in very good condition, even the glass have a very small Omega logo. So I confused, are these part is orignal / genuine one ?

Thanks in advance.
Have a nice day

Thank a lot Mr. Dan S.
Yes, I was get lost in consider keep it as my grandpa condition or try to replace to make it new one. I'll take your suggestion and keep it condition as it was. I've tried to look on internet for such model information, but non is same, so I don't know exactly movement inside, but dont want to open back case. Better let it be 😁.

If the Seamaster does have a Cal 501 inside ( and it may have), then it shouldnt really be making a loud noise when shaken or worn. So I suggest you take it to a trusted local independent watchmaker ASAP, to get it checked out.

Thank you !!
I have no any information, as I tried to look the whole internet and found some Omega seamaster similiar so I think that could be same. Let me look again as your suggestion.
anyway, it is better if I could bring to some experienced watch maker for checking the movement and back case.