Short answers, pulled from the story.
The Peace of Pressburg was signed on the 26th of December 1805 in Pressburg, the city now known as Bratislava. It followed a truce agreed on the 4th of December, just days after the Battle of Austerlitz.
Johann I Joseph, Prince of Liechtenstein, and Hungarian Count Ignác Gyulay signed for the Austrian Empire. Charles Maurice de Talleyrand signed for France. The treaty was a consequence of Napoleon Bonaparte's victory over Holy Roman Emperor Francis II.
Austria ceded Tyrol and Vorarlberg to Bavaria, its Swabian holdings to Württemberg and Baden, and surrendered Venetia, Istria, and Dalmatia to the Kingdom of Italy. The Free Imperial City of Augsburg was also handed to Bavaria.
The treaty required the Austrian Empire to pay France an indemnity of 40 million francs.
The treaty forced Francis II to recognize the new kingly titles of the Electors of Bavaria and Württemberg, weakening the imperial framework. Napoleon then created the Confederation of the Rhine, after which Francis II renounced his title as Holy Roman Emperor.
No. Remaining disputes, including the border along the Isonzo river, were not resolved until the Treaty of Fontainebleau on the 10th of October 1807, nearly two years after Pressburg was signed.