The community response to the first Phase of this process was awesome. The process of whittling those names down to a list of names that we could actually use was challenging and time consuming, but we're finally done and ready to get the community to help us with the selection.
The EE4J PMC considered numerous factors, but in the end the selection process effectively boiled down to identifying those names from the suggestions that The Eclipse Foundation can register and hold as a trademark on behalf of the community.
The choices are: "Jakarta EE" and "Enterprise Profile".
To answer the most obvious question... yes, we have consulted with our friends over at Apache, and they're cool with us using Jakarta.
Since we ended up with only two names, the use of a weighted poll is unnecessary, and so we're taking this forward with a simple "pick your favourite of the two" poll.
Note that this poll requires that you log in with a Google Account. We have configured the corresponding form to not capture your identity.
If you have any questions regarding the poll, feel free to ask them here.
Director of Open Source Projects
The Eclipse Foundation