1999 Mitsubishi Eclipse Stalling Out

Car starts but shuts off right away but the second time will start and stay on, will stay on first time if I give it gas. When I am coming to a stop and put in neutral the rpms dive down and oil light comes on and cars shuts off. Starts right up after with some reving, sometimes have to keep car on by keeping foot on gas. Car does not always shut down at stops or turns but will idle rough (idles almost to zero and sometimes at 3000). The spark plugs and wires are new.