Defender Andy Hughes levelled for the Welsh side in the 62nd minute after Scunthorpe had snatched a second minute lead through striker Sam Winnall's third goal of the season.
"We got an early lead and I thought we were much the better team in the first half," he said.
"I thought some of the football we played was as good as we have produced all season. In Sam Winnall we have a young player who will get us goals.
"He has not got many league games under his belt yet, but he has a great belief in himself and will get better and better."
Laws confessed though that his team did struggle more in the second half against a big Newport side.
"Newport play a game that works very well for them," he continued. "It is brutal at times, but it works well for them.
"I thought we dealt with them well in the first half
"Young Sam Winnall then had the best chance of the game to make it 2-0 for us but then Newport went straight down the other end and scored.
"Until then I thought we had coped well against their physical threat. There are times too when we might have to play route one football, but we want to get the ball down and play.
"When we did against Newport, I thought we caused them a lot of problems."