Ross Hannah, Scott Kerr and Lenell John-Lewis all tried their luck for the hosts but a replay at Glanford Park awaits, and Iron boss Laws was satisfied.
"We're delighted to be in that hat and I'm sure Grimsby will be just as much as we are. We could have lost it and we could have won it," said Laws.
"It ended up being exactly like we thought it would pan out. It was very hectic and devoid of quality.
"There wasn't a lot of time on the ball and every ball was contested.
"We might have been favourites but there's not much between the two teams. There was a lot at stake for both clubs, but we've both got another bite of the cherry."