CF9.0.2 is a fresh installer.
You can probably run CF9.0.1 on Java 7, not sure if that is officially supported platform. I guess since CF9 is Adobe end of life the care factor for officially supported platform is nil.
Note Java 7 is Oracle end of life.
You are going to run into more issues than just that. Adobe recently cleared all the reported CF9 bugs from the bugbase, so you'll have no way to read about any workarounds.
One of the other issues is the ColdFusion 9 SSL SAN bug... it "was" listed here, but Adobe made it disappear:
I recommend using CFX_HTTP5, if you use IIS. I am still using it ColdFusion 10/11 as it provides features not available in the Java CFHTTP tag.
Thank you. I will check this out.