How to compute the channel gain from the path loss model of a wireless channel
To answer the literal questions you asked:


yes
see above


To Frame Challenge your question and give you what you were probably looking for:  

The path loss equation you cited:
$$
128+37\log_{10}(d) ,
$$
is equivalent to:
$$
\frac{P_r}{P_t} = \frac{10^{-12.8}}{d^{3.7}},
$$
where $P_r$ is the received power in Watts, and $P_t$ is the transmit power in Watts.  From this equation it can be seen that the path loss exponent is 3.7. 

Under log-normal shadowing, the random shadowing component is modeled as a zero-mean Gaussian random variable (in dB) added to the path loss.