those connections can just be reflowed, don't need to be completely redone. when soldering don't think in terms of sticking, you don't need to heat it up enough to stick. think flowing, you need to heat it up enough for the solder to flow. get in there hot and quick, hold the wire so it don't move and reflow the solder, then keep holding the wire still for 3-4, 5 seconds or so. cold joints come from moving the joint before it solidifies, the movement brings air into the joint causing a cold solder joint that can break off easily. keeping the wire still till the solder re solidifies is the most important thing.
a wire falling off the board with a big lipo can cause a major short, these wires are big and a little more tricky to solder because they take a lot of heat, most amateur solderers don't use enough heat, it's usually an extra second or 2 of the iron on the joint is the difference between a crappy joint and a good joint, those joints just look like they needed a little more heat. also beware of a soldering iron that isn't hot enough, it shouldn't take 6-7 seconds or more to flow the joint, that will soak more heat into the board than a higher powered iron that flows the solder a few seconds, get in quick and out quick with high heat
a wire falling off the board with a big lipo can cause a major short, these wires are big and a little more tricky to solder because they take a lot of heat, most amateur solderers don't use enough heat, it's usually an extra second or 2 of the iron on the joint is the difference between a crappy joint and a good joint, those joints just look like they needed a little more heat. also beware of a soldering iron that isn't hot enough, it shouldn't take 6-7 seconds or more to flow the joint, that will soak more heat into the board than a higher powered iron that flows the solder a few seconds, get in quick and out quick with high heat