Advice on battery powered ESP32 with NFC Design
I will try to answer   

1. Aesthetics:

Please never draw a schematics like this. I wish your second schematics will be nicer one.

The ground should always be in the bottom and the supply should always be on the top. Poor drawing simply sets off readers because it is so difficult to comprehend and needless to say it doesn't look good. You should really follow the tips in the link below.
Rules and guidelines for drawing good schematics

The pulldown is very difficult to identify. 



The free wheel diode can be connected directly across the 2 pin connector, it will then speaks it purpose to the reader by itself.



2. Battery reverse voltage protection:
One wrong connection would fry the board. There are options to protect the circuit from reverse voltage without the loss of voltage drop or battery usage. Example is a PMOSFETconnected in such a way they the body diode comes in series with the battery.  

3. Battery voltage monitoring Pin safety   

When the Q2 Transistor is off the battery voltage (~7V) will be directly applied to the IO4 pin of ESP. though the current flow is limited it is still the violation as per of the datasheet. Also, plan a clamp diode so that in such a case the voltage will remain clamped to a safe level across the pin. Other option is to use a PMOS switch.

5. Misc   


Pull-up and Pulldown resistor values can be 100K. 
How is touch realised?
What is the expected interval of motor re-activation?
The switches for individual modules is a good idea. You are trying to bring down the quiescent current to a lesser value which is good.
Have you calculated the trace width of the PCB trace for power pins especially the motor current path? There are free online calculators
Please provide some de coupling capacitors near the connector for NFC section
LED forward voltage is unknown. When is the LED blinked? Will it be ON always? 
The capacitor C4 should be placed closer to the VCC pin (in the PCB)
How are you communicating with NFC module. SPI? I2C? Have you considered pullups or line terminations for those?
Series resistors for UART, NFC communication lines if possible will help limit the IO current in case of accidental errors.
What is the purpose of IO21 GPIO. It seems like you have missed putting a switch for the NFC module
Vbattery trace is dangerously thin. The same track goes to drive the motor. 
How long should the product be alive in your application?
The battery voltage divider needs your attention. The resistor combination should be in such a way that the voltage developed across the botttom resistor (which is connected to Q2) should be measurable. Always less than ADC Reference voltage for example. Consider use case if fully charged battery which is about 8 V according to you, 5% regulator tolerance, tolerance of resistors too