Hi Jonathan,
My sympathies on having a ham-handed dad; it's my son who fills that role in my case.
Anyway, it doesn't sound like you're totally screwed, but you are in the market for at least a couple of new parts. The flex cable connecting the LCD to the motherboard isn't replaceable, so I'm afraid you're going to have to spring for a new screen. I've currently got one on order from AliExpress for $15 USD, so they're not expensive these days. Here's the one I bought.
Iphone 11 Plus Screen Replacement
It should be here with a couple of days, so if you want to wait to order until I verify the quality of the screen, you certainly can; I'll be glad to report back. Here's the iFixit screen replacement guide to do just that job.
iPhone 7 Plus Screen Replacement - iFixit Repair Guide
Of course, if you're going to go ahead and replace the lightning port assembly as well, then replacing the screen will be part of that procedure and you won't have to do that separately, although you will need to switch the home button over to the new screen. Either way, here's the guide you'll need to fix that torn cable going to the Taptic Engine.
iPhone 7 Plus Lightning Connector Assembly Replacement - iFixit Repair Guide
Unfortunately, it's a PITA job because you have to take out so many parts to get to it, but it's all fairly straight-forward if you follow the guide. Make sure you have screen adhesive to somewhat restore the phone's waterproofing when you're putting it back together. To be honest, I usually buy a couple because they're cheap and easy to mess up and it'll save you having to wait until a replacement arrives if need be.
One final tip that isn't always explained; plug in the battery before gluing it down with adhesive; that way you'll be assured the connector will reach. I've done that myself where I glued the battery down only to find the connector was too far away from the plug so I had to completely redo the adhesive. Just don't forget to unplug it again when you go to finish the work.
Anyway, hopefully that'll get you going; let us know how it turns out!
EDIT:
Ah, I may have spoken too soon; is it definitely the flex on the Taptic engine that's torn and not the one on the lightning connector assembly? That would be easier to fix if that's the case.
My own understanding is that the basic functions of the Taptic engine will still work; it's apparently some of the advanced features that get disabled if it's replaced. I haven't seen that issue myself, but then again I don't replace a lot of Taptic engines.
I believe the programming that @fixxxm8 is referring to can be done with a device programmer like the one I have made by Qian Li called the iCopy Plus, so you may be able to take it to a repair shop that has one and get a replacement programmed for your phone, but chances are your dad won't even notice the difference, to be honest.
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