Hello,
I can fix one server for you during the weekend, but some of the things you ask/specify do no make sence.
1) Varnish/Nginx microcache *can not* be set up for some sites only, it will be server wide. Whoever promises you anything else, doesn't have a clue
2) Varnish and Nginx (in reverse proxy setup) cannot work together. If you already have nginx installed (entintron for WHM, for example), stick with it, because Varnnish cannot terminate SSL connections. Nginx just needs proper setup for cachimg
3) for php-fpm, it's desireable that you have an upgrade to EasyApache 4 if not already, but it's possibble with EA 3.x too, only that cPane won't be aware of it.
The rest is fine. The quote I have given you is for initial audit, and completition of one server, but as for me, this could also be an hourly job (most fair for both sides, I guess).
All the Best,
Istvan Prosinger