Both lead and tin oxide are much higher melting points, this is why if a joint is dry, adding more heat just makes the problem worse as you expose more of the mixture to oxygen,
Lead free mixes tend to have similar issues, where generally the tin will separate leaving other metals to react,
These oxides are also better insulators, which make it hard to get heat into the joints.
The flux strips the oxides back to there base metal at much lower temperatures than there melting points, freeing them up and letting them re-dissolve into what we call solder, this outside film of fresh solder finally gets thick enough to rejoin the solder that was under the film and the entire joint can become a fluid.
This dissolving action is why you have to be careful with gold plated PCB's, if you don't let the solder react with to dissolve the plating a bit so there is not a high concentration right at the boundary to a pad, it can suffer from brittle fatigue and crack off the PCB later on,
If you cannot slide, try a twist, reduce the amount of surface area the pad is stuck on by.
As to solder for the new pad, clean all the pads with desolder braid, give them a go over with a soldering iron and back wick the excess that ended up on the pad so only a thin coating remains, that is enough,
Why clean the pads? if your mixing different blends of lead free solder you can create a weird alloy with a lower melting point and is less resistant to brittle fatigue.