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I have a 2007 Mini S. Plenty of oil in the pan. Stopped the car. No suggestion of problem. One hour later the car won't start. Won't churn over and the starter starts to heat up. The dip stick won't come out. Only comes up about 4" then stops. Timing chain had a lot of clatter!
From the other thread you have...sounds like if it had lots if clatter, it was broke, and getting out of time....the fact the dipstick is stuck ....not good. Not churning (making butter), or turning over, but rather having the startr motor getting hot trying to turn a stuck, possible siezed rotating mass...not good.
from my experience, the timing chain snapped. had the same exact symptoms. take the valve cover off and see if the chain is there. if not then you need a head rebuild, timing chain and components replacement. Or a new/refurb engine if you have the funds.