Reading the symptoms you posted, was the replacement transmission a new one? Rebuild or used? The codes both point to control circuit malfunctions like a pinched or damaged wire, very easy for that to happen when reinstalling a transmission and you don't watch carefully.
As for doing a swap, as Joe says, there isn't really anything you can do except install the same engine and transmission types that you have. However, for the codes you have I don't think that would help as it sounds like there is an issue in the wiring.
Next, I would find a different shop that works on Honda's. It sounds like the current one doesn't really care to solve the problem.
Monday, February 11th, 2019 AT 5:26 AM