Kusari-Gama triggered ability works for me, beacause there is no word "you". Right?
I'm not controller of these cards so I can't use/pay/activate Kusari-Gama and Crab Umbra activated abilities. Right?
If I'll gain control of creature with Loxodon warhammer, my opponent (owner of Loxodon Warhammer) will get those lives. Right? Lifelink says "Damage dealt by this creature also causes you to gain that much life."
If I'll gain control of creature with Hyena Umbra attached to it. Can I use totem armor ability? Or I can't beacuse I'm not owner of that aura?
A player can gain control of a creature with Auras and Equipment attached to it; an Aura's or Equipment's controller is separate from that creature's controller (C.R. 303.4e, 301.5d). Once that happens, however, as a state-based action, each Aura attached to the creature may or may not remain attached to it depending on what the Aura can enchant; for example, in general, Auras that say "enchant creature" (e.g., Crab Umbra) will stay, but Auras that say "enchant creature you control" will go to the graveyard as a state-based action if the Aura's controller is not the same as the creature's (C.R. 704.5m, 303.4, 109.5).
Kusari-Gama's ability will trigger whenever "equipped creature deals damage to a blocking creature", even if Kusari-Gama's controller and the equipped creature's controller are not the same. Only Kurari-Gama's controller can activate Kusari-Gama's equip ability, and only the equipped creature's controller can activate the ability Kusari-Gama grants to that creature (C.R. 301.5d).
Loxodon Warhammer gives the equipped creature lifelink, among other things, so that if that creature deals damage, that creature's controller (not necessarily the player who controls Loxodon Warhammer) gains that much life.
Totem armor on an Aura works the same way no matter who controls that Aura. In general, if a permanent is enchanted by two or more permanents with totem armor and would be destroyed, that permanent's controller (not necessarily the controller of any of the Auras) chooses which Aura's totem armor effect to apply (C.R. 616.1, 616.1e).
If I gain control of target creature - equipment and aura cards attached to it will stay attached to it. Right?
My opponent (owner of equipmnet) can attached it back to his creatures during his turn. Right?
I have Kusari-Gama and Crab Umbra attached to Storm Crow for example.
Kusari-Gama triggered ability works for me, beacause there is no word "you". Right?
I'm not controller of these cards so I can't use/pay/activate Kusari-Gama and Crab Umbra activated abilities. Right?
If I'll gain control of creature with Loxodon warhammer, my opponent (owner of Loxodon Warhammer) will get those lives. Right?
Lifelink says "Damage dealt by this creature also causes you to gain that much life."
If I'll gain control of creature with Hyena Umbra attached to it. Can I use totem armor ability? Or I can't beacuse I'm not owner of that aura?
Kusari-Gama's ability will trigger whenever "equipped creature deals damage to a blocking creature", even if Kusari-Gama's controller and the equipped creature's controller are not the same. Only Kurari-Gama's controller can activate Kusari-Gama's equip ability, and only the equipped creature's controller can activate the ability Kusari-Gama grants to that creature (C.R. 301.5d).
Loxodon Warhammer gives the equipped creature lifelink, among other things, so that if that creature deals damage, that creature's controller (not necessarily the player who controls Loxodon Warhammer) gains that much life.
Totem armor on an Aura works the same way no matter who controls that Aura. In general, if a permanent is enchanted by two or more permanents with totem armor and would be destroyed, that permanent's controller (not necessarily the controller of any of the Auras) chooses which Aura's totem armor effect to apply (C.R. 616.1, 616.1e).
See also this thread and this thread.
EDIT (Aug. 26): Add rule citation and remove comma.
EDIT (Aug. 31): Correctness edit.