In reply to Removed User:
If your existing consumer unit is up to date with current regs, lighting should already be on an RCD. Adding a further RCD would be unnecessary and kinda goes against the principle of selectivity in that there's no certainty which device would trip if there's fault.
Adding a spur is not notifiable provided it's not in a special location (e.g. bathroom or room with a swimming pool should you be lucky enough to have one). Pre 2013, outdoor stuff was notifiable but I believe this is no longer the case as part P of building regs was simplified, so basically only stuff in a special location or involving messing with the consumer unit is notifiable.
If you're burying a cable, iirc BS7671 (wiring regs) gives some guidance about the depth but I think it's a bit vague (something about a suitable depth or something, so perhaps for a garden deeper than the blade a spade? Don't quote me on this...) It should be marked with tape buried shallower than the cable. If burying SWA (steel wire armoured) cable, it needs to be terminated properly i.e. the armour is earthed. Basically just use a proper copper gland for SWA cable rather than a plastic one and fit properly, lots of info on how to do this on the web.
Anything outside needs to be suitably IP rated and resistant to the environmental conditions (e.g. don't use twin and earth cable as the insulation will eventually break down from UV exposure).
Cable size should be appropriate for the load. There are cable size calculators on the web that will give you minimum cross section based on load, cable type, distance and installation method (i.e. direct buried in this case). For a LED light the load is pretty minimal so unlikely to be an issue. Downstream of a fused spur you need 1.5mm cable as this is the minimum size that is rated to 13 amps i.e. the largest fuse you can use in the spur. I'm not sure you'd even be able to get SWA cable smaller than this. Upstream should be sized appropriate for the protection at the consumer unit, e.g. 2.5mm if it's a ring main on a 32amp MCB. Personally I've used a 1amp MCB fed from a fused spur with 0.75mm cable downstream for lighting circuits, as the MCB provides sufficient protection for the cable. I'm fairly sure this complies with BS7671 but I may well be corrected on this.
Just as a disclaimer I used to work as an electrical engineer a long time ago. Wiring regs have been updated since I worked in the field (17th edition at the time, now on 18th) and I didn't work on domestic stuff so not professionally familiar with all the applicable bits of the wiring regs or building regs beyond satisfying myself I'm not breaking the law when doing DIY stuff at home, plus I was never qualified to sign anything off as being compliant anyway. Hopefully someone more current and qualified will come along. Worth keeping in mind that getting electrics wrong can be fatal, and advice from strangers on the internet might not be any good...