Looked at the pictures,looked like a corner joint? Looked like flux core,looked like you was burning hot,can't tell much about third picture,kinda confusing to me.
This not concerning those pictures,To me cold lap is on face or root of weld,its over lap on toe,convex bead,edge of weld,that you can't see with eye ball really,got to grind it down and see where it is fused at and where its not,a dye penatrant check would help the eye balls in this. Lack of fusion is in weld or on root edge,its where the weld did not fuse to base metal weld jointsides,or between passes on a multi pass weld,something resembling what I said anyways,some may call it one or other,but both are bad,its about the same as a crack[or worse],it can spread grow like a crack,and if its on inside,you can't see it,sometimes xray won't pick it up even.
Thats what mig[short circuiting mig] is know for,thats why its got a bad rep.
You can have this with other process but mig is the best known for it.
There are several reasons for cold lap and lack of fusion,the mig helps in most of these,just the way the wire melts,it short circuits,it hits metal melts and wire burns into,than it does it again and again,thats the sound you hear with a mig,than the wire is very small,small puddle,and easy to get outside puddle and not know it,than you get lack of,,you got too have clean metal to help this,the mill scale melts at higher temp than the steel,so that helps if its not clean,you can't just rely on it burning/tieing into edge of weld groove,you got to manipulate your gun in order to do this. Plus like I said,its alot easier to use if its not running hot,so,many turn it down,and make pretty beads!
Good for what it was designed for,single pass,thin stuff,and it works best,down hill.
But to me that weld in those pictures just looked typical for flat flux core.