Trouble is that it was only on offer for a day IIRC.
I think filing maybe a bad idea for SOME tips, but I don't know what Ully's using.
Ully, EVERYTHING you mention points exactly to too little heat. The solder should do the work "by itself" If it's hot enough it will flow, if it's hot enough it will form a nice "mount Fuji" too. I bet your solderings are not shiny looking either.
One more thing: solder wick is this:

Sounds you're confusing it with solder (tin):

The wick is used to get old solder out of soldering holes.
Forget about that stuff you found in your soldering toolbox. You shouldn't need it with soldering electronics.