cisco HSRP loadbalancing  topolgy

My recommended topology sceanrio as follows :
                       
                                                         Internet
                                                            |
                                                            |
                                                       Internet Router
                                                             |
                                                     Fortigate Firewall
                                                             |
                                                        Access  -  sw
                                                       /                    \
                                                   Core-sw-1---------  core-sw-2
                                                 /                             \
                                               Dist-sw-1 ----------- Dist-sw-2
                                            /           \                     /            \
                                    Access-1     Access-2         Access-1  Access-2
                                       |                   |                      |                |
                                   VLAN10        VLAN 20       Vlan 30      VLAN 40


I hope , the above topogy is undersandble and giving short note on the above scenario

1) In this project we are using one cisco 1900 series router as internet router
2) Fortigate firewall is a Internet firewall
3) Two core-sw as 4506 series and two  3750-X as distribution and 2960S switches as access
4) There is a cross connectivity between distribution -1 to core-sw2 and distribution-2 to
     Core-sw-1 ( Not shown in Above diagram)
    There is connectivity between distribution switches ( shown in diagram)
5) Each access-sw is in each vlan and connected to distribution , end devices are connected to access-switches

                                                           Requirements :

1) HSRP configuration including Loadbalancing for each VLAN means some vlans
    Core-sw-1 is active and core-sw-2 is standby and viceversa

2)  If we go to  HSRP-Loadbalancing , How to configure VTP , can we configure two core-switches as server mode then  how it works if core-switch-1 fails how the vlan database reflects in other core-switch-2

3) How to configure STP , can we configure Core-Sw-1 as a Root bridge for some vlans and
    Core-Sw-2 as root bridge for a remaining vlans , How core-sw-2 will become a Root bridge for the vlans are through Core-sw-1 , if core-sw-1 gets down

4)  How the redundancy will be happen , if one core-sw-1 goes down how the repspective vlans traffice will turn through Core-sw-2

5) How the VTP database will be reflected in Core-sw-2 if Core-Sw-1 gets down

6) will do intervlan in Distribution switches , is it ok? , can we make distribution , access switches  as a client mode in VTP configuration , i think it wont give any issues , so that
VLANs configure in Core-Switches will be reflcted in each distribution / access-switches


Pls provide a solution for the above and suggest your comments

Regards
Ramu