If you trained on OSCOLA, submitting to a US law review means switching to the Bluebook. Here is what I see UK-trained writers miss, illustrated with the Yale Law Journal's own style guide.
1. Read the journal's style guide first
The Bluebook is only the base layer. Journals add house rules that override it. Yale, for example, follows the Bluebook for citations, the Chicago Manual of Style for everything else, and its own guide above both.
2. Pinpoint almost everything
Yale has a "strong presumption" in favour of pincites. The only exceptions are sources introduced with see generally and sources cited simply for their existence.
3. Make parentheticals do work
Explanatory parentheticals start with a present participle ("holding", "arguing") and read like an ordinary sentence, articles included. They show the editor why the source supports you.
4. Id. is alive and well
Unlike OSCOLA, which has just dropped ibid, the Bluebook still uses id. for the immediately preceding source, and supra for earlier ones. Don't mix the two systems.
5. Block quotes start at fifty words
Quotations of fifty words or more go in a block. Shorter quotations stay in the text.
6. Archive your links
US journals expect online sources to carry a perma.cc link in square brackets after the URL, so the source survives if the page changes.
I help you apply the Bluebook, and the house style of the journal you are targeting, to your own article. Get in touch.
Source: The Yale Law Journal, Volume 133 Style Guide (following The Bluebook: A Uniform System of Citation, 21st edition). Always check the edition your target journal uses.