Hey Gerta318is....Let's see if we can help you figure out your cluster light issue.
If you rebuilt the entire bottom end with new pistons and rings then you need to seat the rings properly. Using a 20/50 is like molasses unlike a well refined maple syrup and will hinder the seating of the rings as well. Now...if you didn't touch the bottom end then I'll say that the additive is your culprit because you say that you run 20/50 in both cold/hot weather.
Nowhere in the owner's manual could I find where it states to use 20/50 as oil of choice, in fact it does state to consider "special oils" which is definitively marked on the chart as 10/30 or 10/40 or 15/40. These oils range in temperature from -30*C/-22*F to 30*C/86*F. Check the outlined section. These special engine oils are individually approved by BMW as "low friction lubricants". It also states, in bold letters, BMW engines are designed to require no additives to their engines if one of today's highly advanced brand-name lubricating oils is used. Using additives could cause engine damage. Now.....we all know that was written soooo long ago!
My guess is that your oil/additive mix is too thick and and its taking that minute or two for it to start to thin out and then your oil pressure comes up. On a new engine, not having lubrication on start up is where the most damage is done by far. I would immediately change your oil, scrap adding the additive and break it in for 1,000 miles and then change your oil again and maybe use the 20/50 without the additive.
I'm guessing that should take care of your cheapest route into figuring out your cluster light issue. IF that doesn't solve it then you may need to revisit your oil pump or check valve set up.
Now for a fun fact..... The volume between the 2 marks on the dipstick equates to approx 1liter or 1.1 US quarts.
HTH,
Cheers,
~Ralph