Obito has both his Kamui eyes instead of a Rinnegan. His body is modified with Hashiramas cells. He can use all Jutsu shown in the Manga apart from Rinnegan techs. So Izanagi is not restricted.
Location: Kumogakure (bee vs taka)
Knowledge: manga
They want kill each other. No Gedo Mazo.
Itachi and Nagato are healthy.
Scenario 1: See above
Scenario 2: Obito can use Susanoo (ms feats)
Scenario 3: See above, but Obito doesn't have Hashiramas cells inside
Scenario 4: He doesn't have Hashiramas cells but still Susanoo
Location: Kumogakure (bee vs taka)
Knowledge: manga
They want kill each other. No Gedo Mazo.
Itachi and Nagato are healthy.
Scenario 1: See above
Scenario 2: Obito can use Susanoo (ms feats)
Scenario 3: See above, but Obito doesn't have Hashiramas cells inside
Scenario 4: He doesn't have Hashiramas cells but still Susanoo