Hmmmm, sounds like what i refer to as a "compound fault" - one that has one set of symptoms but multiple causes. These usually only become apparent when one of them is fixed and cures part of the fault.
It does sond like the catalogue of problems i have had with my Honda which started when i got it with the EML on and 12 1/2 months MoT - alarm bells immediately!
The code putting the EML on was the knock sensor, Honda very cleverly hid this tiny little sensor where only contortionists with the reach of Guy the Gorilla and fingers/hands as small as Thumbelina could reach it. I had to create a tool using my 1/4" drive socket set and some 6mm bore fuel hose and a few other imaginative bits to be able to change it. All was good until the front brakes decided to start binding for no apparent reason, throwing the engine load/mixture out and causing the knock sensor light to reappear, aided and abetted by the PCV valve being weak and the hose to said PCV valve collapsing when warm. All of this has largely been intermittent so has been a nightmare to track down and much of it has been guesswork/hunches but on the upside, it has still been reliable.
It's reading between the lines on fault codes on many occasions that lead to the real fault.