The EAS problems & Engine not starting are completely separate issues.
Ignore the EAS until you get the car started. If you have been playing with battery connections, then maybe you now have bad connections, or more likely have popped a fuse, or got the BECM into a strange state.
The EAS issues sound like leaking air-bags. When the car is lower, the bags often seal any cracks as the rubber folds over. At higher settings more of the bag is exposed, and the air leaks from any cracks in the bags. This would cause the issues the original post. The pump "running like crazy" is probably because it's trying to fill the system and cannot deliver enough air. Worn airbags causing regular leaks will definitely kill the pump !!