Hi Mr.Tourbillon and welcome to the forum! You've got two fine Omega TC-1 (the TC-2 is the one that has the date feature, you can recognize it by its additional button on the left side of the watch, as it uses the module of the Pulsar P3 Date/Command, unlike the TC-1 that uses the module of the P2),
very beautiful models and currently one of my greatest desiderata...
About the issues that they give you, since you want to fix them, you can talk to our administrator, Hanno (SASM) at StrikesAndSpares as he repairs Pulsar, Omegas and Synchronars, and in case they can't be repaired, he makes a SASM module, which is a new working module made out from the parts of your old non working one, which has a better battery life than the old module, an increased reliability and a one year warranty. Without forgetting that it looks 100% like the original module.
I've sent my non-working Pulsar P3 to Hanno some weeks ago, and it's been resurrected with a SASM module.
I'm very satisfied by his top notch work, and I'm so excited to think that soon I'll get my P3 back "alive and kicking"!
So the SASM option is the best choice to make your beautiful Omegas work again. You won't be disappointed.
P.S. is it me or the bracelet on the non working model is a SS one?