A little advice? You really needed to understand how the rifle is put together and functions before you start ripping it apart. However, we are here to help.
If that Blackhawk rail you linked is the one you have, it will not work with the rifle you have. That rail is a two piece (drop in) that requires a front sight block to mount to. 2 piece rails use 2 attachment points, one at the barrel nut and one at the front post/gas block. Not to mention, it's a rifle length and thus needs a rifle length gas tube and system (rifle length is longer). The Sport has a carbine length gas tube and system, so that means the rail you have is too long to fit your Sport.
Now my suggestion (as others have stated). Since you already have the front sight post unpinned, remove the flash hider and take it off entirely. Then return the 2 piece rail you have and purchase a free floating one piece rail and a low profile gas block. The reason for the free floating rail is it is only one piece (as opposed to 2) and mounts at one location only, the barrel nut end of the rifle. It doesn't need the front sight/gas block to mount. The free float rail IMO is a better way to go anyway (for various reasons) so it's a win/win for you. That then allows you to install the low profile gas block using your existing Sport gas tube and then install the free float rail over the low profile gas block. Since it doesn't use the gas block to mount, the rail just slips over it and mounts at the barrel nut. That's what I think you should do.
Your only other option is to re-install the front sight post and tube and buy a carbine length 2 piece drop in rail and return your rifle length 2 piece rail.
Sorry for the bad news, but as I said originally if you had done a little research you probably would have known the rail you bought wouldn't work. Good luck, let us know what you decide.