Yeah, is needed to solder in the 2 holes, not sure if are lifted in that side of the board, but you can flip the board and see where goes that line (to the syscon chip probably)
If you see some component soldered in that line at the other side of the board... great... solder the wire to that same component
The location of the battery doesnt matters btw, most probably is going to be better to place it at the other side of the board
And the wire for ground is the last thing you need to do... first find a convenient location for the battery, and solder ground next to it, there are ground everywhere so you can choose
And btw... you can use long wires and pass them throught one of that holes in the motherboard border and "tie" them with a knot to the hole, this way the solder job is going to resists any pulling from the wires
Not sure if there is room to make this knot with the wires, but the point is you need to do something to prevent breaking it again in the future
The solder job you are going to do is delicated and the battery is going to be "hanging around" so is going to be very prone to break, better do something to prevent it before it happens
A motherboard with a problem like what you had can be fixed maybe 1 time or 2.. but more than 3 times could be irreparable
Everytime it breaks is going to break a bit more and usually there is a point where is game over... probably you are close to that point of no return