Yes, you've discovered Sinclair's keyword system, press a letter key (with a K cursor) and get a command word in full

Yes, if using RF/UHF you will get a less clear picture. The vertical banding may be reduced if you change these four ceramic capacitors C5, C6, C7 and C8. Remove the existing parts and fit either 470nF or 1µF types. If you don't have four, try just changing C5 and C8.
The ZX Spectrum needs a rather large audio signal. Most modern audio devices are marginal at best. So you may need an audio amplifier. Both the Ear (tape input) and Mic sockets ONLY work with mono plugs.
If using a tape deck, don't have the Mic plug connected during LOADing.
Mark