No, "inflation" refers to a specific episode in the very early history of the universe. Or rather, in some models of this.

Much slower expansion continued and continues today, and if you look really carefully is slightly accelerating not decelerating right now.

m/s, or comparing to the speed of light, isn't really a great way to measure this. Points far away from us are moving away, and faster the further you go; we know of no limits to this.