I hope you are not trying to imply that the two Hamas press releases prove anything whatsoever. Is is likely that there was a delay between the launch and the press release, just as there was a delay between the explosion and the report on it.
Kalinak dishonestly uses "it" to lead the reader to believe that the "it" is the same in both sentences.
That said, the orientation of the crater and the flipped-over van (see NYT The Morning October 20 photo) strongly suggest the the projectile came from the South East. Only the Israeli Air Force could have attacked from that direction. It should not be too difficult to determine whether there were missile or bomb-capable IAF craft in the area at that time. If none, then IMHO israel is exonerated. If some, then the case remains open.