Agreed, BOTH the outside and the counterbore for the lead-in are seriously bad.
The lead-in, is badly chattered, like either the barrel was not tight during the machining, or the cutting tool was not tight, or the tool needed sharpening, or...was not turning fast enough.
And the outside looks like plyers or vice grips got ahold of the outside diameter. That's NOT normal either.
If you bought that gun new, I'd seriously think on returning it. You bought a...well used gun, with some hard handling.
1 - Remachine the barrel, 2 - replace the barrel, 3 - return some of your money so you can get the barrel remachined yourself, 4 - or return the whole gun.
Mike