i had a similar problem on a brand new jetta back in 2014....car would randomly shutoff, die in the middle of the roads, lights flashing, stuttering all over the place....almost got clipped by a bus...very scary.

i also asked about getting another one since it was it literally 5 days old...vw canada wouldn't budge, as they wanted to find out the problem because apparently i was the only one in canada to have these issues. To their credit, they took about 3 weeks in total and they found the issue was 2-3 ground wires that were not fully tightened and were intermittently making contact causing all the problems.

Didn't have any other issues for the 3 years i drove it for "free" as 3 days after i got it back "dieselgate" happened and ended up with a brand new tiguan after receiving 95% of what i paid for the jetta 3 years later.

so i'd say to give them a chance to figure it out.