Is my oil not lubricating? Saw (16in) is 1 day new and keeps stopping. It's cold out but not freezing! 45degrees

With the chain cover removed you should be able to see if oil is getting to the chain. If the sprocket and surrounding area are dry there may be an issue.

Can you elaborate on what you mean by quitting.  Is the light on the battery flashing green/orange/red?

How's the temperature of the bar, especially near the tip?  It will get warm to the touch, but should not be too hot to touch, which would indicate an oil feed problem.

One test to ensure you saw's oil is working is to run it under no load for 10-15 seconds, and put the end of the bar near something like a piece of paper or cardboard, there should be oil flying off the chain and being deposited on the paper/cardboard.  After cleaning my saw, this is the test I perform to ensure the oiling system is working correctly.  I also perform this test as start-up preparations.