swapping x51 R1 to new case - need some feedback + check-up

Hey everyone,

i currently own an alienware x51 with following speccs and details;

R1 model (2 years old)
i7 3770 @ 3.4 GHZ
1TB
8GB RAM
BIOS 14

since i've had issues the past months and I did a lot of research.. i am going to transfer everything thats possible into a new rig.

I have made the following choices (nothing is fixed - just my best picks)

Case: Corsair Carbide SPEC-03
Motherboard: ASUS P8Z77-V LX
Power supply: Corsair CX600 V2
Card: Zotac NVIDIA GeForce GTX 970 4GB
CPU cooling: Corsair H60
SSD: Samsung 120GB 840 Evo

Will all these components fit together (ive checked all details and i was sure it would)

Is the motherboard the best pick?

is the watercooler a good option or is it not necessary?

Any suggestions? Am I forgetting parts?

Thanks in advance!