the car runs fine right now

but recently, about a week ago or so, everytime when I drive for a while and I turn the car off, there is a short pause in the stereo. This did not happen before. I thought to myself, maybe it did happen before but I never noticed it. So I paid no attention to it.

Earlier this week, when ever I cold start my car, in the morning or hot noon, it takes more than one crank (more cycles) to start the car. The car starts but it takes a little longer now.

Last time I had this problem, the battery failed (replaced March 03)

Now, is this a sign of failing distributor?