No, the US did not give it approval on it's first trial because they screwed up the dosing and used 2 different dosing protocols by accident and then tried to just combine the results into an average efficacy. US did not like that, and made them run the trial again using one set dosage.
It has not been directly associated with any neurological problems.
Some EU countries halted administration temporarily while they looked into the clotting/stroke cases that popped up. At this point, they believe the vaccine *may* be causing the generation of a specific antibody that is also produced in Covid infections and leads to a specific type of blood clot in the veins in the brain, that is also associated with oral contraceptives (I believe most patients who experienced these clots were women of childbearing age). However, this is just a theory right now, and many scientists are skeptical because there is no reason why this vaccine would cause this to happen when none of the others does (they all work the same way in the body, in terms of creating antibodies against the spike protein).
Thanks. Thats reassuring. The only other negative I read was that it doesn't protect against variants.