Your first stage is not strictly common base, since there is a 10K resistor from base to ground. The input impedance is not 75 ohm, but closer to 10k. You should bypass that resistor with cap a big enough to be an adequate impedance at signal frequencies. The usual strategy would be to use a big cap (short at signal freq.) and depend on the input resistance of the emitter to match the 75 ohm signal, but that is unpractical here: to get 75 ohm input impedance, the quiescent collector current must be 0.3mA [r_pi = 26/Ic(mA) = 26/0.3 = 75 approx. ] Your input signal is 1Vpp @ 75 Ohm, that means input currents of 13mA peak, which are not by any means small signal compared to 0.3mA. Expect great distortion if you try this.
I'm not sure a common base stage at this signal level is a good idea. To accomodate 13mA current swings, you'll need a quiescent current of at (the very) least five times that, 65mA. If you choose the emitter resistance to be 75 ohm, the minimum for a match, to get a gain of five you need 375 ohms at the collector. That means a quiescent voltage drop of 0.065*375 = 24.4V just at the collector. And 0.065*75 = 4.9V at the emitter, 24.4+4.9 is almost more than your 30V supply. You might try an active load at the collector to avoid the resistor drop problem, but at this point perhaps another different amplifier type would be simpler and more efficient. Anyway, I've not that much experience with common base amps, but I'm sure any of the experts will confirm if this is possible.
Also, the 'uic' option in the simulator might confuse things. I think that, by default, ltspice will simulate starting from the DC operating point of your circuit. If you bypass that with the 'uic' option (or 'startup'), your circuit will take time to settle down, and you won't see the real transient behaviour of the stabilized amp.