If he’s a Gitmo grad with ties to Pakistan, that would seem to suggest al-Qaeda, not Iran. Also, suicide bombing is more a Sunni tradition than an Iranian or Shia thing. Of course, I guess Iran could hire a loose terrorist to do their dirty work, but I’d think first about some Salafist movement.
I think that Hezbollah did have quite a number of suicide bombers in South Lebanon, when fighting the IDF, but that was rather a different conflict.
This individual does appear to have the Al-Qadai/Sunni/Gulf Arab affiliation which leads away from Iran. If he is an Algerian militant, then it is quite possible he has spent time in Libya - that’s where they go, as Algeria is too dangerous for them.