I have a 2007 A6 2.7TDI. I'm getting two yellow warning light displays on the small screen:

(1) what looks like a representation of an engine. It either comes on, or doesn't, when I start the engine, and then stays (either on or off) until the next time I stop the engine. It seems to be random; it happens rather more than half the time, I would guess.

There's nothing wrong with they way the engine runs, as far as I can tell.

By the way, I can't find this mentioned in the handbook.

(2) when I have a trailer connected, a "bulb" light and a message saying that the right-hand indicator on the trailer isn't working. This warning comes on, more often than not, only after a few miles on the road. The thing is, though, that it's lying; I have stopped several times and checked, and all the trailer lights are working as they should, every time.

Could both these faults be caused by a single faulty component?

I can't be sure whether they appeared at the same time, because I don't use the trailer all that often.