Plastics are a sort of byproduct of oil production and account for like (IIRC) 5% of them. You can't sustain an industry on that. If their price goes up, there'll be lots of substitutes popping up, but we should also note that. It should also be noted that plastics, by themselves, don't contribute to climate change - the carbon doesn't go in the atmosphere.
Batteries? I'm not sure what the question is. There's a lot of stuff that does into them and fossil fuels is present everywhere, for example powering the mining trucks. Except the way to get rid of fossil fuel powered mining trucks is to have EV semis, which need EV pickup trucks, which need EV passenger cars. That is, it's a virtuous cycle where more EVs cause prices to go down and more EVs to exist. You can plainly see this cycle play out over the last decade and it's only going to accelerate.
Energy? Well, this is simple - it depends on where you make EVs. Plenty of jurisdictions have very low carbon electricity.
[0]: https://www.industryweek.com/technology-and-iiot/article/220...
Even if you committed to fossil fuel only for industrial processes (which I don't see why you would), if used to electrify transportation you'd eliminate a majority of the demand for oil. Plastics usage is marginal compared to transportation.
https://www.eia.gov/energyexplained/oil-and-petroleum-produc...
They may be picked up again in 40 years to enable plastic manufacturing, but commodity extraction is all about boom and bust cycles.
PS: Buying a 10 gallons of gas for a fillip is 63 pounds. How frequently are you buying 63 pounds of plastic?
Can low-cost producers shift their product mix toward more chemicals and less oil?