inzecter ruling questions

ok for my question say I summon inzector dragonfly (I like the name damsel better) then used its eff to equip from my hand inzecter hornet than from my hand I use inzecter giga-weevil eff to equip it to dragonfly. Then i use hornets eff to destroy gigaweevil and activate damsels eff twice and use gigaweevils eff to special summon itself.

1. i'm pretty sure dragonfly activates twice because of how the order goes
1st hornet is sent to the grave as part of a cost.
2nd damsel activates and specials a inzecter from your deck
3rd hornet destroys gigaweevil
4th damsel activates specials another inzecter
5th gigaweevil revives itself

i'm pretty sure this is all correct but my opp said he could bottomless both inzecters i summoned with damsel

thank you for your time if you helped

This is how it works by chain:

1st Chain:
Send Hornet to Grave. Hornet is Chain Link 1.
Damsel's Effect triggers and becomes Chain Link 2.
Chain begins resolving.
Damsel summons a monster and your opponent cannot activate Bottomless at this time because the chain is still resolving.
Hornet destroys Giga.
Chain finished resolving.

2nd Chain begins:
Giga's effect triggers becoming Chain Link 1.
Damsel's effect also triggers becoming Chain Link 2.
Chain begins resolving.
Damsel summons a monster and your opponent cannot activate Bottomless at this time because the chain is still resolving.
Giga summons itself.
Chain finished resolving.

would add this to my thread
http://forum.duelingnetwork.com/t10339-inzecter-ruling

Chain 1:
Link1: Send Hornet to the grave, target giga.
Resolve:1 Destroy Giga

Chain 2:
Link1: Damsel Triggers
Link2: Giga/Damsel Triggers
Link3: Giga/Damsel Triggers (here you can choose the order)
Resolve3: Summon Giga/Summon Monster from the deck
Resolve2: Summon Giga/Summon Monster from the deck
Resolve1: Summon Monster from the deck

ok thx guys can someone mark this as solved?