I have a 2003 Corolla LE, 250K miles. Same problem. and all you have described was done to the car. All ignition coils were replaced. There is not a code right now. Our mechanic also advised to replace the engine mounts. However there is loss of RPM, but. I've noticed this when the AC was on.
Wow. If is not too much to ask, How much you paid for it? We bought a used 2003 Corolla LE back in 03 from the Toyota dealer with 20K miles. It was $12K. We still have it. It has 250K miles. We got our money's worth! :-) Same engine and transmission. We had to replace a rear wheel bearing at...