It might help if we had good pictures, but you don't really want conductive glue for this repair.
Again it depends on the state of the damage, but if a copper foil trace is lifted, use whatever thin (superglue, etc) to glue the trace back down or if too degraded then just cut it off.
Scrape off the coating on the closest portion of the trace so you have bare copper to solder to, or you might instead want to connect to the lead or pad of the next upstream component that the trace leads to.
Flux and put down a solder plating on that exposed trace copper.
Take a small piece of solid core wire and solder it in as a jumper/bridge between the two points in the circuit. If it is low current, something small like a ~26AWG network cable conductor might work. Lay the piece of wire in position, lather some flux on the area, hold the wire in place with a soldering tool (knife blade, etc) while a tinned soldering iron tip spreads the solder on both ends of the wire.
If the prior damage leaves the trace or wire with play in it, put a hard protective coating over it such as epoxy or nail polish. There are of course more purpose specific products but hardly worth buying for a single repair. Even if you don't have nail polish, it's only a dollar or two at a Dollar Store. It can also glue the trace down instead of "super glue/etc" mentioned above.
If movement of the battery or charger had torn the connector off the PCB traces, a bit of reinforcement there with some epoxy around the perimeter might help, just making sure it doesn't get into the connector and foul it.