The amp is not the best design but here are some details.
Input assumed to be low impedance, about 75 ohm coax from antenna.
The two 5.6 pF are impedance matching caps (although likely incorrect impedance transformation). L1 inductor is about 95nH requiring about 26 pF to resonate at 98 MHz. The tapping at 1 turn actually increases the input matching losses but it reduces the effects of input impedance variation on detuning input resonant tank circuit.
The DC biasing of the transistor is based on the 27k base feedback and 1k + 270 ohm collector resistors.
Icollector = beta * Ibase
Ic = beta * (Vcollector - Vbe) / R1 = beta * (Vc - 0.6)/27k
Ic = (12 volts - Vc)/ (R2 + R3) = (12 -Vc) / 1270
Solve simultaneous equations for last two items. Ic = beta * (Vc - 0.6)/27k = (12 -Vc) / 1270
Biggest issue I see is the collector voltage will be low resulting in limited dynamic range (amp subject to overloading) with potential of bad intermodulation interference.
From an AC perspective, the 27k provides a little (very little) AC feedback on the amp. This would lower the input and output impedance of the device a little bit.
On output, the bypass cap C3 forces R2 (270 ohms) to be a low impedance output load. Primary purpose is to keep amp stable (prevent it oscillating).
The output tank coil, L2, is about 60 nH requiring parallel resonating capacitance of about 44 pF to resonate at 98 MHz. The two 10 pF just jack up the Q of the output tank and provide about 20 pF of additional capacitive loading on L2. They provide no impedance matching for taking the <270 ohms device output impedance to 75 ohm low impedance output from circuit.
All in All, not a very good circuit. (hope your instructor did not design it.)