The correct answer to this question is the following.
The correct matches are:
-Maintaining relations with both Britain and France: Proclamation of Neutrality.
-Weakening opposition to the federal government: Sedition Act.
-Maintaining trade relations with Britain and preventing war: Jay Treaty.
-Establishing a federal court system: the Judiciary Act.
We are talking about important pieces of legislation in the history of the United States. The Jay Treaty was signed on November 19, 1794, and the key man was John Jay. The treaty prevented a war against Britain. The Proclamation of Neutrality was a smart move by the US government and prevented conflicts while maintained relationships with both, England and France. The Sedition Act was signed by President Woodrow Wilson on May 16, 1918. It limited expressions against the US during a war.