Definitely but achievements will be unavailable as it doesnt have any and is not a 360 game though it's still supported make sure it has at the top 'only on xbox' or it won't work :)
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Unlikely. Halo: CE (1) and Halo 2 were on the original Xbox, Halo's 3 and 4 are on the 360, so 5 and 6 will most likely be on the Xbox One.
no halo 1 can only be played online on the original xbox
No sorry, Halo is a Microsoft Game meaning it is only available on Microsoft Products, Windows and XBOX 360. Halo 1+2 are released on the original XBOX and Windows and Halo 3, ODST, WARS, REACH, 4 and CE Anniversary are only on the 360.
AN XBOX 360 has 2 front USB ports, and 1 back USB port, an XBOX 360 hard drive will work for sure. A USB flash drive will work on the xbox 360 after you get the Spring 2010 Dashboard update
Yeah it's backwards compatible.