I have heard about the Halo 5 Warzone game type. Will there also be the standard matching making such as ctf, slayer,oddball,btb,flood,etc? Is that was the arena is?
Yes. So far the only confirmed at-launch Arena playlists are Team Slayer, Breakout, and CTF or an Objective playlist that features CTF (which appears more likely than the former). Those are the only confirmed ones right now, so we can obviously expect to see more when the time comes.
BTB will not be present at launch, but rather a few weeks after launch.
They said at launch that there will be:
warzone.
arena.
breakout.
ctf or objective.
Weeks later after launch:
Btb.
possibly more.