I think that you're mostly okay.
What I look for is a strong indication that the project
operates in an open manner as described by the Eclipse
Development Process. i.e. open to collaboration with others on
a level playing field. Any sort of strong "sponsored by"
statement may act as a barrier for others to contribute. e.g.
a community member is less likely to contribute to a project
that they perceive to be dominated by a single company.
TL;DR: please make it clear that it is an Eclipse open
source project, not a Red Hat open source project.
I have added a few comments below.