I see a number of problems:
1. The oscillator. A 74LS04 oscillator will produce a near square wave output signal. Square waves are very rich in harmonics which will cause interference on many other frequencies. A large proportion of your transmited signal will not be on the frequency you want. You really need a pure sine wave or failing that, a near sine wave followed by filters to remove frequencies above the one you want.
2. The Amplifier. The antenna will have a very low impedance, depending on design it will probably be less than 100 Ohms. The amplifier is a standard voltage amplifier designed to drive a high impedance load, as a consequence it will have very little, if any, gain. If you need an amplifier at all, it should be a power rather than a voltage amplifier, one designed to deliver it's voltage across a low impedance load.
The classic approach to this would be a single transistor oscillator followed by a buffer amplifier to isolate the antenna from the oscillator stage but not to provide amplification. There would normally be an impedance matching network before the antenna as well. Before going further, is your oscillator tunable or are you using crystals to decide the frequency?
Brian.