: No serial number on the case and also the Ed Heuer signed Cal 72
: doesn't have a number. Is this a red flag?

I've had two model 2444's & they both had serial numbers but no model number

As for your movement photo i dont see any problem with the bridge. Its most likely a late 1962 or 1963 example. By this time Heuer had stopped numbering the movements as they were no longer sending them to be chronometer certified.

Here is a photo of an earlier example i used to have :

Hope this has helped - Darren