I don't know but mine still knows I once downloaded Doodle Jump and Temple Run at some point (just checked), which was on my iPod Touch 1st Gen back in 2008 or something. These purchases or downloads are all connected to your AppleID, so if you use the same one as back then it should be good and things should be redownloadable. Unless something's been removed from the store in the meantime for whatever reason or something's not supported anymore (which would be on the developer) I guess, but that's the hazard of digital I'd say. The email thing sounds like a Google Gmail issue. Beyond that, like I said I don't know but I'd follow Jumpin's suggestion and just contact customer support.