Google Images seems to be a bit hit and miss - sometimes I can view images like yours if I'm logged into my Google account in the same browser, but in this particular thread I can't. Best practice seems to be to follow Jeff's process, and ensure that you are embedding a url ending in 'something.jpg', rather than the long URL you've ended up with.
On the subject of LEDs, DRLs are an essential swap, reversing lights also highly recommended for visibility purposes as you've observed, but your mileage may vary with the others. Finding LED bulbs that last anywhere near as long as incandescents before they start to fail is a challenge (many of us have tried), and you may find you need to add resistors in parallel with the indicators to get the click/beep in the cabin. I tried replacing all the rear bulbs with LEDs and ended up with smoke and burning plastic whilst driving, and went straight back to incandescents everywhere other than DRLs and interior lights.
The reason for this is fairly straightforward - making a drop-in LED replacement for a standard bulb is a lot more costly than making the standard bulb, so manufacturers tend to cut costs. LEDs run hot, so ideally you want a big heatsink, and as many individual LED chips as possible, each consuming as little power as possible. In reality that drives the BoM cost up, so manufacturers tend to cut back on the heatsink volume, and use smaller numbers of chips running at higher power, thus more heat output, thus quicker time to failure. Note the difference in an LED replacement bulb from companies like Osram or Philips vs eBay equivalents - it's big, and largely for those kinds of reasons. There are also some good videos on youtube analysing the light output of LEDs vs. incandescent/halogen/xenon, and the results are not what you would expect.
So based on all of that, the DRLs are worth doing due to the trade-off of not melting the plastics and having a more mechanically reliable, cooler-running bulb (note that even though the LEDs are cool enough to not melt the housing, they're still hot enough to melt themselves, as per above). Reverse lights are also worth doing because they are only on when reversing, thus they won't get too hot and will last. Tail lights on the other hand are on all the time and almost certainly won't last as long as a traditional bulb, and indicators may just end up causing hassle.
Moving on to Jeff's image for the pop-up relay - it's funny, that picture must be permanently etched into the mind of every 480 driver, but fair point, if you're new it probably means very little!
I'm sure someone else with more pictures will be along shortly, but in the meantime the thing bottom centre is the bonnet catch. On the right there is a microswitch that the car uses to work out if the bonnet is open or not. If the bonnet is open, the pop-up motors are inhibited. This is quite handy as it makes the possibility of losing a finger in the pop-up mechanism a little less likely. To do anything to the pop-ups with the bonnet open, you have to put something (e.g. a screwdriver, pen, pencil, your finger etc) into the hole on the right to operate the switch. You'll hear it click, and then the pop-ups should have power. That switch is a known point of failure, so something to consider when you're looking for the problem.
The vaguely triangular thing on the left is the relay box, located at the top under the bonnet. The marked position shows the pop-up relay, which is double height and easy to spot. The relay is another thing that can go wrong (but whatever you do don't throw it away, they're not easy to come by and can be easily repaired. I did a post on that which I'll try to dig up if that turns out to be the case here). The square on the top right is the socket underneath the relay, and if you look at the wires and compare them to the circuit diagram on the relay itself, you'll see that by connecting 87, 30 and 30a, you are sending 12V to both headlight motors permanently, which should make them cycle up and down until the wires are removed. This can often resurrect a motor that wasn't working well before.
And welcome by the way, and just to confuse things I'm another Will!