Cisco Firewall :: ASA 5510 DMZ Configuration?

I have a Cisco ASA 5510 connected to 2 private lans (1 for my HQ pc's{inside} and 1 for the worldwide mpls{outside}) It is also connected to the public internet at interface "public" and my dmz at "dmz" interface.  I suspect I have a routing issue because packet-trace yields allow, the nat looks ok and the objects look ok at least to me but I'm the one with the non working config so...Basically this is the desired flow: 

1. I need all traffic from the inside to be able to flow to the outside unimpeded as they are both trusted networks. (this is ok right now as I allow everything via access-list 101.)

2. I need any host on the public internet to be able to reach a server on the dmz via the pat which I set up from the "public" interface to the "DMZ" interface.  The desired flow would be that the person on the internet types in [URL] and this is directed to the public interface ip which forwards to the webserver object on the dmz. (I cannot get this working any which way)

3. I need the dmz to be able to communicate with another server on the mpls via the "outside" interface when it recieves the request from the public it then checks with this other server on the outside via nat(translating the dmz range into the ip of the outside interface on the firewall)I have a default route that points to the mpls or outside interface for 0.0.0.0 0.0.0.0 via 10.x.x.1 - (and although I'm not sure I suspect this could be conflicting with traffic that needs to be sent to the "public" interface .... meaning that the firewall should dump packets bound for 0.0.0.0 0.0.0.0 to the public interface - 184.x.x.194 but I'm very reluctant to change the default route as this is in production and I'm not sure how it will affect traffic).However, I do suspect that if I changed the route from default to static as such:

route 10.0.0.0 255.0.0.0 10.x.x.1 (this would get all lan and mpls traffic to the mpls gateway) route 0.0.0.0 0.0.0.0 184.x.x.193 (this would send everything else from public to the public internet gateway)I think this is accurate but then I would bypassing my corporate internet proxy which is behind the mpls gateway at 10.x.x.1? Is there a way to get http traffic originating from the lan (10.x.x.x) to use the mpls gateway and http traffic for the dmz to use the public internet gateway at 184.x.x.193.  I don't want to start causing a flow problem for the internet nor do I want to bypass my corp internet proxy.Either way I cannot get this to work, eventhough the logic checks out, I cannot get even a ping response when I allow icmp any any for testing. Note: I can ping resources on each network from the firewall, not only it's own ports in the associated network but other resources on those networks as well. 
 
Here is the running-config:

ciscoasa# sho run
: Saved
:
ASA Version 8.4(1)
!
hostname ciscoasa
domain-name marcjacobs.lvmh

[code].....