Hey there MY-LY,
We understand your new iPhone screen has been unresponsive. This primarily happens after charging. We'll be happy to help.
Since this occurs after charging, we'd recommend making sure you use an Apple cable and power adapter or third-party hardware that has been approved. The resources below will help you identify those.
About Apple USB power adapters
Fast charge your iPhone
About iPhone, iPad, and iPod accessories
We'd also suggest double-checking the steps outlined here: If the screen isn’t working on your iPhone or iPad
You've already done most of these. However, you may need to try step 3 which will have you try a different power outlet, cable, and charger.
If you still experience this, reach out to Apple Support directly or have it inspected locally. Use the two links below.
Find Locations
Get Support
We hope this helps. Cheers!