Gavin Tomlin and then Britt Assombalonga gave the former Hull boss the perfect start to life with his new club but Zavon Hines and then James Hanson meant he had to settle for a point.
"To go two goals up was a great start, but Bradford is a tough place to come to and we have got a point away from home against a very strong team," Brown said.
"The attitude and the ability was there for everyone to see. I think I have got something to work with.
"It's my first point as Southend manager and while we probably need to win six out of six to get into the play-offs we firmly believe we can do it.
"There is a lot to play for and we want to make sure we have a strong finish to the season and see where it takes us.
"The work we have done in the last four days bore fruit and our front two players scored a goal each.
"We knew Bradford would throw the kitchen sink at us in the second half, but we stood up to it and defended manfully. We hit the post after they scored their first goal and if that had gone in we would have restored our two goal lead, but what a great ball it was from Nahki Wells for Bradford's equaliser. So we take a point and move on.
"It was a great advert for League Two football in really adverse conditions and a great game of football from two teams who have earned a place at Wembley - Bradford in the League Cup final, ourselves in the Johnstone's Paint Trophy."