Ultimately look at the risk/reward of not accepting their offer, versus accepting.
- Accepting the course (if offered) costs you £100 or so, a few hours of your time, and no points.
- Accepting the points and fine costs you the fine, the points for 3 years, and you have however many less points til you tot (or if a new driver, your licence revoked)
- Rejecting both costs you a huge (£500+, probably closer to a grand), the points for jumping a red, lots of time wasted and stress.
(3) is the most expensive and most risky.
From looking at GSV and the photos, whilst the lights are fairly close to the stop line (3.1m on the RHS), whilst I appreciate you are in a lower vehicle and surrounded by larger vehicles, I expect you could have seen at least one of the lights by moving your head and/or body (and if you could not see any of them, you should not have proceeded). The big thick stop line is a big hint it's traffic light controlled, along with the other lights in the junction to your left.
I regularly use a junction where the light across the junction is out, and the other lights are only 2m from the stop line, and whilst you do need to turn your head, you can see them whilst stopped at the stop line.