> all the skills and education will be gone which means you're restarting from zero.
Not at all. There will be books containing most human knowledge. It would be hard work for the rebooters to reacquire those skills but much, much easier than redeveloping them from scratch. Plus in many cases there will be artifacts around that can either be reused directly or as models.
> those trying to restart civilization will as well
Rebooting doesn't have to follow the same development path that we took to get here.
It would be very interesting and potentially important to try to find shorter, easier paths to modern technology. It's not obvious to me that such paths can't exist. If they do exist we can record them to guide future generations.
I'm only personally familiar with the (current) high end of technology, but for example once you get to the point where you're building microprocessors we know that you should build something simple like RISC-V which lets you skip generations of mistakes. If you actually build RISC-V then we can arrange to have a whole lot of archived software ready for you to use.