|Thanks for your interest.|
FACTS: It's a North American TV (NTSC), manufactured in 1996. In addition to a single coax input marked "Antenna" (already in use), there are two other inputs, each of which consists of a set of three RCA connectors: composite video (yellow) and stereo audio (red and white).
Given the above, I think the answer to your second question is yes, 100% analogue.
Clearly, it's getting to be time for me to replace the television. I shall, but I prefer not to do so immediately (unless it's the most cost-effective approach - doubtful). Therefore, although I want a solution that will accommodate the existing TV, I definitely require a solution which is able to fully exploit the improved capabilities of a modern TV (HDMI?).