Second-half goals by David Norris and Steve Morison lifted the pressure on Whites manager Neil Warnock and denied Ince a winning start.
It was Leeds' first league win in four games, reviving hopes of a top-six spot in the npower Championship, but Blackpool's hopes are fading.
Ince said: "It would have been nice to start with a win but this time last week I was sitting in my lounge or walking the dog in the garden, so it's good to be back in football.
"Paddy Kenny made two or three outstanding saves for them and in the second half we had chances which didn't quite fall for us. I was disappointed with the goals we conceded, but we played some good stuff at times.
"It is early doors. I've only been through the door for two days and there is a lot to work on. We are not organised or structured at this moment, you can see that.
"We have a match on Saturday, then a free week when we can get the lads out on the training pitch and get a few things sorted out.
"The most important thing is to reach 50 points, so let's get back to winning and take things from there."