Using a regulator or not?
If you're asking questions like this, you're not ready for "mass production", whether you wish to be professional or not.

You need to look at the supply voltage range of everything, and then see if the range of your battery's voltage from full to flat will work.  If not, then you will likely need either a very-low-dropout linear regulator (hint: the AMS1117 isn't), or a type of buck-boost switch-mode regulator that can provide a stable 3.3V supply from a source that can be either above or below the output (i.e. as the battery goes from full to flat).  For a linear regulator option, even if the battery voltage drops below the regulator's drop-out voltage (for a 3.3v LDO regulator's output, lets say it's 3.5V, 200mV above output), then you might be able to get away with that - the regulator won't really be in regulation, but depending on your load profile that may or may not matter much.

When you say a "3.7 lithium" battery, its range between full to flat will be ~4.2V full, to no less than 3.0V flat.  And you don't charge lithium with a constant voltage source.  Well, at least not at first - lithium battery charging is at least a 2-stage process, first constant-current, then constant-voltage, using a charge management chip specific to Lithium chemistry.

You are not ready for mass production, not even close.