So I've wiped out the other mods, reinstalled and have updated to 1.3....PLEASE try and get it out this weekend if you can...if you can't I totally understand 
Will the graphics pack be compatible with 1.3?
From my brief viewing of their FAQ topic, it looks like the only conflict would be Nationalist China's AI file, maybe Japans. So, technically they don't work together. But if you don't mind overwriting the DAIM AI files for Nationalist China with the CCIP AI files, I don't see why they shouldn't work.
Unless they have new events to switch around AI files or some such, in which case there you'll have more issues/work involved in getting them to be compatible. So, I am going to cop out with a "maybe" answer. I guess the only way to know for sure will be to try it yourself and see if it works. IF you decide to do so, make backups of everything that gets changed before you start, and good luck!
The one that I made?
event = {
id = 3545
random = no
country = USA
name = "Creation of the 14th Air Force"
desc = "The head of the American Volunteer Group in China, Brigadier General Chennault, states that with more Aircraft, fuel and munitions, he can bring about the defeat of the Japanese in China from the Air."
picture = "14th_AF"
date = { day = 10 month = Febuary year = 1943 } #10 March 1943
offset = 10
deathdate = { day = 29 month = december year = 1945 }
trigger = {
war = { country = CHI country = JAP }
NOT = {
war = { country = CHI country = ENG }
war = { country = CHI country = USA }
}
random = 33
}
action_a = {
name = "Send what is needed"
ai_chance = 90
command = { type = manpowerpool value = -10 } #Twice as big as Zet
command = { type = money value = -1000 }
command = { type = supplies value = -2000 }
command = { type = oilpool value = -1000 }
command = { type = relation which = CHI value = 15 }
command = { type = domestic which = interventionism value = 1 }
[COLOR="Red"]command = { type = trigger which = 3546 }[/COLOR]
}
action_b = {
name = "We can not afford this"
ai_chance = 10
command = { type = domestic which = interventionism value = -1 }
}
}