Just solve the cables from the old star and solder them to the new one?
Is there anything else I have to mind? Anything else I have to get to do that? Paste or something like that?
Is there any other LED that would be better?
Desolder old star, remove star, clean up the pill, apply a bit of thermal grease, place new star solder cables and try if it lights up.
The linked led is a XML U3 which has a nice warm tint when it is dedomed. without its a bit blueish.
There are now XML2 available which are a bit brighter than the Normal XMLs.
And since the 7g5 is hardly driven it makes sense to think of using a copper star with an reflowed xml2 on it to get the maximum out of it…