Personally, I don't use the word "belief" whist dealing with astrology - or just about anything else. I'd rather rely on evidence, experience, and skill rather than anything so subjective as belief. Beliefs are inherently subjective. And do not require proofs or objectivity.
As far as reincarnation goes, I have no direct recalled personal experience of it myself - but I don't discount the possibility that others might have those experiences.
Nothing that is a "belief" is required - unless of course one chooses a path wherein belief in a certain thing or concept is required for acceptance into that particular path due to the specific dogma mandated by those who define the path.
Since I prefer the road less - or even hardly ever - traveled, I need not follow the rules nor pay the tolls of those who tend the major highways.