The ECAM and the STATUS page will tell you what you need to know to land safely.
This is sometimes backed up with the QRH, for example the dual hydraulic failure summaries. If there is time, you can consult your OMA and OMB for extra nice to know information.
But I would not try to overthink this. You cannot remember every feature of every failure. Contrary to what some people believe, the Airbus is designed to help you. As long as you use the correct, methodical approach towards the ECAM - which is detailled in the Airbus QRH - you will be fine.
As far as all those engine start maladies are concerned - leave it alone and let the FADEC deal with the start failure. For example, it will automatically perform a dry crank if required. If it needs your help it will ask you, but if you start moving master switches or whatever in the middle of a sequence without being asked, you could cause more problems.