No, Patek makes most of its own movements, with some exceptions, including (ironically/bizarrely) its very hot perpetual calendar chronograph (Lemania).
Yes, but it was a highly refinished ebauchÃ¨ (not that the Lemania is a bad movement, far from it!), and meets the highest of Patek's standards (PoinÃ§on de GenÃ¨ve), and uses an in-house manufactured perpetual calendar module.
Until of course Patek made their own in-house automatic chronograph...the cal. CH 28. As found in the new Annual Calendar Chronograph, ref. 5960P, which uses a CH 28-520 IRM QA 24H movement.
Here is my daily wear Omega Speedmaster Professional. I love this watch. It is not too ostentatious and takes abeating. I also like that the back of the watch shows the movement, this model does not cap the back. Apologies for the quality of the pics.