Are both OK:
Go home, relax and have a good nights rest.
And
Go home and relax and have a good nights rest.
a good night ' s rest <<< apostrophe Other than that, both are OK, but don't get into the habit of using an extra 'and', as you have in #2,
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a good night's rest <<< apostrophe
Other than that, both are OK, but don't get into the habit of using an extra 'and', as you have in #2,