Hi!
Steady shot shall be switched off, for sure, autofocus either !
The main issue will be the focusing. Bringing the lens to the infinity mark is not accurate enough. You would better focus on an intense star zooming to the max on your screen. Once the focus is OK, don't touch the lens anymore.
Usually, lenses are better when closed by 1/2 to a full stop.
For the exposure duration, look at the page of Aaron D. Priest who explains the "NPF rule" :
NPF Rule for Sharp Stars
That will allow you to shoot the Milky Way without stars trailing. This rule supersedes the 600 or 500 rule.
LENR is quite efficient to remove the thermal signal from long exposures.
Beware : on the A6***, A7, A7S, A7R mk I, do not shot 30s or more in Bulb as a terrific internal software filter will eat most of the stars ! For the mk II and A9, it is even worse as the Star Eater is activated in all modes for exposures of 4 seconds or more... These mk II cameras are therefore not for nightscapers !
Clear Sky
Fred