My GG grandfather served in the 3rd NJ Cavalry, Company B.
Here is a website that honors them.

http://3rdnjcavalry.com/index.html

It's been awhile since your post so maybe you've already found it, but there are lists of battles in which they participated.

I was also able to find a bio of my gg grandfather at the Atlantic Co. Historical Society from their local Joe Hooker post, so maybe you'd be able to do the same.