Will F3-2133C9D-16GTX RAM work with GA-Z68MA-D2H-B3 rev 1.3 Motherboard?

They will work well together, and if you don't oc the RAM, and they will run at 1600mhz, because either Sandy Bridge or Ivy Bridge can support 1600mhz only, if you oc them, they may run either 1866mhz or up, but I don't what exactly mhz you can get.
 
And what cpu and GPU do you get?

Also I added the linkers for i5 2500K or i7 2600K for gaming review in 2017. So you will get the idea how your PC will do.
Ryzen 3 vs i5 2500K https://www.techspot.com/review/1474-ryzen-vs-older-budget-cpus/
i7 2600K vs i7 8700K https://www.techspot.com/review/1546-intel-2nd-gen-core-i7-vs-8th-gen/
 
I'm currently using a i3-2120 but am looking to up to a i7-2600k along with either that RAM or PV316G186C0K - RAM

Couple of other things ill be adding in are
GPU : RX 580 - GV-RX580GAMING-4GD
HDD: HGST/Hitachi (HUA723020ALA641) Ultrastar 7K3000 2TB 64MB 7200RPM 3.5" (Enterprise Grade) SATA III 6.0Gb/s Hard Drive

I already have a little 150GB SSD ill use as my boot maybe a few frequently used applications and figure that should work fine with an AHCI setup.