Yes, it is a tamper.
The blade is for cutting stuff, the poker is obviously for stirring and poking, and the shorter "blade" that's more like a spatula is for scraping out your pipe bowl. In the case of a wooden pipe, building up an even layer of charred stuff around the bowl (called the cake) and it's necessary to scrape it out from time to time, but you want to avoid damaging the cake with a pointed blade.