Well as for the hatch, I heard this mod will work for the 370 as well..
Rear Hatch Opening Fix HOW-TO - Nissan 350Z Motoring Forums
Mine seems to have the problem as well and typically if I don't use my hatch every day. And well there are also some other springs that could be purchased or requested at the dealership (which they should replace for free TBH) here:
http://www.the370z.com/nissan-370z-g...ase-issue.html
Hope this helps on the hatch latch issue.