Simone, welcome - and you're closer to done than the thread makes it feel. Two things from the parts side:
Buy the dial that comes with its movement - that listing is the answer. It costs the same as a bare dial, and it solves the exact risk gatorcpa warned about: a dial still sitting on its born-with movement from a 166.070 is self-verifying - right diameter, right feet, right aperture, no guessing. And you get a correct-caliber donor movement thrown in free: spares for life, or the option someday of making the watch fully correct. A bare dial at the same money buys you none of that. As someone who breaks these for parts: dial-on-movement is always the buy.
And on the "wrong" 562 - the factory's own paperwork is kinder than the thread suggests. In Omega's spare parts catalogs, the 560–565 are one family sharing their dimensions, and Omega's own references mixed them: the 14770, for instance, was cataloged across 560/562/563/565. Your 562 isn't an intruder in that case - it's a sibling in the same berth, and a 24-jewel sibling at that. JimInOz has it right: serviced, running perfectly, all genuine - enjoy it. With the correct dial on it, you'll have a watch that's honest about its history and correct to the eye, which is a better start to a collection than most people's first Omega.
