Do a compression test.
The engine management light will be on because of the detected mis-fire.
A lambda fault isn't likely to cause a mis-fire only on one cylinder.
The second lambda sensor takes longer to warm up and start producing values.
Due to the mis-fire, fuel trims will likely to be fluctuating wildly and not where they would normally be.
Before you go too far down a pointless rabbit hole, check the basics.
The engine management light will be on because of the detected mis-fire.
A lambda fault isn't likely to cause a mis-fire only on one cylinder.
The second lambda sensor takes longer to warm up and start producing values.
Due to the mis-fire, fuel trims will likely to be fluctuating wildly and not where they would normally be.
Before you go too far down a pointless rabbit hole, check the basics.