Trouble is that there aren't enough Omega triggers around for there to be a pool of experts, and I'm certainly not one. I've never dismantled mine as there are no clear instructions on re-assembly available - I'll do it one day, but only when necessary.
I'll use Chambers part numbers. If you think that the primary (SR018) and secondary(SR020) sears look OK and unmolested, that's good. If they've been ground, filed or even polished, possibly bad. A photo of your trigger blade would be very helpful - there's no coil spring involved in it anywhere. If someone's played about with the trigger blade, get rid of it quick and just replace the whole thing. Since the trigger blade is made from a sort of pot-metal alloy, it will have no bearing surfaces other than the head of the adjuster screw, so don't underestimate the importance of the screw - it's an integral part of the trigger, rather than just an adjuster.
I wouldn't really call the Omega trigger two stage, to me it has no discernible stages - tbh I don't like it much, it's smooth and consistent, but vague. There's nothing that lets you know it's about to fire.
As before, any photos you can post will help solve this.