Looking at your core dumps, I would guess the problem is with items.
Code:
#3 0x00000000007314df in SoD::SerializeItem (inst=0x7fc81c000c70,
slot_id_in=0, length=0x7fffffffc664, depth=0 '\0')
at /usr/include/c++/4.3/istream:587
#4 0x0000000000732f19 in SoD::Strategy::Encode_OP_CharInventory (
p=<value optimized out>, dest=0x7fc81c036e70, ack_req=true)
at ../common/patches/SoD.cpp:1250
#5 0x0000000000735d64 in StructStrategy::Encode (this=0x7fc82ee8cf00,
p=0x7fffffffc1f8, dest=0x7fffffffbfb0, ack_req=72)
at ../common/StructStrategy.cpp:22
#6 0x000000000070790f in EQStreamProxy::FastQueuePacket (
this=<value optimized out>, p=0x7fffffffbfb0, ack_req=112)
at ../common/EQStreamProxy.cpp:36
#7 0x0000000000707774 in EQStreamProxy::QueuePacket (this=0x7fc81c03ded0,
p=<value optimized out>, ack_req=72) at ../common/EQStreamProxy.cpp:30
#8 0x00000000004dff17 in Client::QueuePacket (this=<value optimized out>,
app=0x7fffffffbfb0, ack_req=72, required_state=469765232, filter=787009280)
at client.cpp:750
---Type <return> to continue, or q <return> to quit---
#9 0x00000000004f59ca in Client::BulkSendInventoryItems (this=0x7fc81c002450)
at client_process.cpp:935
Your zones are crashing when loading inventory/items, so something with them being sent is causing it. You can find a little more information about the crash if you go through the frames and list the code around each frame.
Example:
To prove your issue is item related, I started a char on your server on Titanium and deleted all items on it. Then, exited and logged him in using SoD and got in just fine. Though, it looks like you clearly have other issues, because I got myself killed and it crashed the zone as well. I think that zone crash was probably related to the new respawn window. You might want to try disabling that in your rules once you get your items issue worked out.