The FM transmitter that you are talking about has an extremely strong signal at its radio frequency (about 100MHz) due to the very short distance from the antenna to the mic preamp.
what does transistor overloading means, does it mean that the slew rate(rate of change of output based on input) of the transistor cannot cope with the 100MHz signal?
Overloading means overloading. The input signal level is much too high.
is this how you calculate the cut off frequency of the RC filter of R3 and C2:
R3=30k ohm,C2=100pF
At 100MHz, the 100pF of C2 has a reactance of only 16 ohms which is almost a dead short so it reduces the RF signal to almost nothing.
does this mean that R3-C2 forms a low pass filter with the calculated cut off frequency?
R3 has nothing to do with it because the impedance of the mic is much lower and is in parallel with R3.