James was dismissed in the final minute of a tight game for clashing with Richard Brodie, who had thrown himself to the ground looking for a penalty.
James did not appear to make much contact with substitute, who was booked for his part in the main talking point of a scrappy match.
Brodie, who had earlier been involved in two squabbles with groups of Chester fans, was sent-off himself a minute later when he was shown a second yellow card for a foul on Ryan Higgins.
Burr said: “When you get a man sent off and you’ve got four or five minutes to go it’s disappointing
“I spoke to Kingsley in the dressing room and one or two other lads have said he hasn’t done anything so I said well that will show up on the video so we’ll have a look at that.
“The thing is today if you go in to a player in any way, shape or form you’re asking for trouble. I’ll give him the benefit of looking at it but our disciplinary record is shocking and we can’t afford that, and we lose Kingsley for three games now.
"I must say I didn't particularly think Brodie's was a sending off either but in today's game it is isn't it? It's changed a lot and it's disappointing some of the bookings you see nowadays.
"Matty Brown got booked early on and you're just walking a tightrope for the rest of the game. That's the way the game is but we've just got to put with that. We'll look at it and see what action we can take but the disappointing thing is the lad will be missing."
Chester, who gave starts to new signings Brad Abbott, Matty Hughes and Ryan Higgins, were deserving of a point and might have had a case for all three, particularly on the balance of possession.
Hughes caused plenty of problems for the Sandgrounders and Sean McConville, Gareth Roberts and Matty Brown had decent chances, although Danny Hattersley had a goal ruled out for offside for the hosts.
James and Craig Mahon tested 18-year-old keeper Callum Burton in the second-half but the Blues were not at the same level and Southport grew in stature the longer the game went on. Brodie testied Jon Worsnop from 25 yards before the keeper produced a fine one-handed save to keep out a header from the same man.
Both teams were then reduced to 10 men in the final stages and a draw was probably the right result at the end of a game that offered little in terms of entertainment.
It was a welcome improvement from the disappointing defeats to Altrincham and Braintree Town, and the manager was pleased with the contribution from his new additions.
Burr said: “I thought Brad got into the game quite well and I thought Ryan Higgins had a good debut and looks what we know he’ll be.
“I think those lads will obviously get stronger for us so I was pleased really all round on the sort of form we’ve been on and not having a game for a while. We looked a lot brighter and there was a lot more energy in the team.
"We've looked at our performances and brought Michael Kay back in and I thought he did very well and it was that type of game late on. They obviously brought Brodie on and the other lad to lump balls into our box but I thought in general we dealt with it quite well.
"I was just a little bit disappointed we didn't finish off some good moves in the first-half where we had some good opportunities to score."