Another Mk I TR82C.

[pwdrive]

The scope pics and description seems to indicate low loop gain either due the active device or insufficient feedback, it looks like that circuit is operating in common base mode for the osc, if it is then the base needs a low impedance return to the bottom end of the emitter feedback winding via the base coupling capacitor and the aerial coil secondary winding and the emitter bypass capacitor, the B-ve side of the osc collector feedback winding also needs a low impedance return path (via C5)

Good luck.

Lawrence.