Yes to both questions; just make sure to use an appropriate sized jumper as this is a high current connection (relatively speaking).

I am literally the only person I know of that still performs actual through hole/trace repairs as this requires both advances skills and specialized parts and equipment which doesn't make this type of repair cost effective. The only advantage offered by a true through hole board repair is that when performed properly it's guaranteed to last for the life of the board.

This is what a true through hole repair looks like prior to tinning the new vias:
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I use a combination of Pace Cir-Kit trace repair kits and solid copper eyelets from a company that closed it's doors a few decades ago.

If I was using a jumper, I would use 18 gage solid wire.