Car will run fairly well with O2 sensor disconnected, it's only used for trimming injector on time.
By disconnecting the exhaust it eliminates a blocked muffler or cat converter. An exhaust leak is no indication of free flowing, it could be corroded internally and have a collapsed baffle, that why I asked how hot the exhaust gasses are.
Map sensor is located on inlet manifold under the throttle body, it will be difficult to disconnect.
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