Recharging my EB70S

I’m a Newbie here and I hope you are a patient group? :blush:
I’ve just purchased a Bluetti EB70S power bank.
For now, I have 2 questions please:
#1 Does this unit shut off automatically once it’s fully charged?
#2 I’m planning to recharge my unit with an inverter, hard wired under the hood of my truck. Is it OK to use a 300 watt inverter for this purpose?
Thanks: Dave :blush:

I have this Inverter. Can I safely recharge my BLUETTI EB70S with this?

BESTEK 300Watt Pure Sine Wave Power Inverter Car Adapter DC 12V to AC 110V with 4.2A Dual Smart USB Ports