Palem, I understand there must be pressure on you to support the owners and their friends, but try to keep some personal integrity and pick the fights you can win.

1. EOA CF between 8:9 and 8:13.
Bart hasn't violated this term of the CF.

2. EOA CF between Sparta and 8:13
This one is largely irrelevant but it seems to have been honoured and is in effect.

3. 8:9 will not compete for #1 land on individual prov charts with 8:13
I've removed the parenthesis to make matters simple for the less capable members of this community.

8:9 won't compete with 8:13.
Not that 8:9 won't compete, period.

There is no stipulation in this deal that states Bart or his allies can not try to remove 8:13 from the competition for the crown.
As long as 8:9 is not trying to outgrow 8:13 while they're in a position to crown, Bart is not violating this term. Bart is free to grow, and to crown, assuming 8:13 hasn't got an avenue by which they themselves can do so.

If Bart were coordinating an effort to drop MEGA from the crown race, that would not violate the CF. It isn't an ingame action being undertaken by 8:9. In so far as good faith / the 'spirit' of the deal go, such an action would be no different than ASF attempting to talk other kingdoms into dealbreaking RoO (who they had EOACFs with) before the expiration of his notice agreement.

Bart didn't agree to a deal that barred him from crowning, and it didn't bar him from using 3rd parties to circumvent the CF. Perhaps ASF shouldn't encourage DBs against KDs he has CF's in place with, and people might not treat him this way. Or maybe he should make better CF terms for himself.