Those are called solder pads.
Almost certainly repairable.
If you're not experienced with microsoldering you might want to send this one out. Charge port repair can be DIY for sure, but building microjumpers to restore a line really requires a microscope and some experience.
If you need a professional, feel free to click the link to my iFixit Pro profile to find your way to our mail in board level repair service.
PS: You were right to use an iron on the port instead of hot air---next time just add a little desoldering alloy and it will come right off. Lifting pads is a sign of not enough heat.