Lions striker Andy Keogh won a penalty and delicately placed the ball past Adam Bogdan, but Keith Andrews managed to equalise from another spot-kick later in the first half.
He said: "We had a bit of a threat on the break but overall we have got four points out of six against Bolton which is great against a team that have come down from the Premier League.
"The first half we played well and caused Bolton problems. In the second half it was a rear-guard action from us and we defended well for long periods.
"In terms of the table and where it leaves us we are still in there with a shout."
It was also Republic of Ireland international Keogh's first game since he broke his toe and Jackett was delighted with his return and he was also impressed with debutant Martyn Woolford's performance.
He said "I think Andy is a key player for us and I thought he played very well today.
"Him and Danny N'Guessan up front gives us a lot of pace on the counter, which you need to take advantage of when you play a team which try to get on top of you like Bolton do."
He added: "I was pleased with Walford's first game because he gave us balance on the left hand side and he had a great strike in the first half where he nearly scored as well."