But Djokovic responded with the decisive break to seal the match in 77 minutes.
And Lesley Vainikolo and Wales' Matthew Watkins each scored two tries after the break to seal the bonus point.
Sixth seed Pliskova, 18, came back from 4-1 down in the tie-break to seal victory in one hour 20 minutes.
After dominating the first set, two stunning winners - a backhand down the line and crosscourt forehand winner - saw the two-time semi-finalist, whose only Grand Slam title came at the 2005 US Open, break to love to seal it and she opened the second with a confident hold.
That Federer was able to break in game 12 to seal the win came as no surprise, but the brilliant manner in which he did so took the breath away.
But Sharapova's nerve soon returned as she took an early lead in the tie-break which she never relinquished to seal a win over the Czech who beat her in last year's Wimbledon final.
And one more break in the third was enough for Federer to seal the win.
Goode and James traded further penalties after the break, as the home side kept in front to seal victory.
And although the 26-year-old Lopez did claw one break back, the mercurial Safin held his nerve to seal the match.
Sinfield made no mistake with his kick to set the seal on a thrilling Super League encounter and break Castleford's hearts.
The Rams improved after the break but substitutes Jeffrey Schlupp and Lloyd Dyer fired late goals to seal the win.
One break was also all that was required in the third set to seal a success that was Britain's first since September 2007 when they beat Croatia, in Tim Henman's final match, to book a place in the World Group.
Agassi showed his class to break Henman again, and in the tie-break the Briton spurned four match points before the American held his nerve to seal the match.
But Safin did not have to stretch himself much to seal the set, Lopez making a string of unforced errors to lose the tie-break 7-1 and fall 2-1 behind in sets.
After the break Defoe missed a penalty, having won it himself, but made amends with a superb volley to seal the win.
Taking a break from difficult negotiations over a troubled state budget, the governor presented Sullenberger with a jacket with the state seal, a California state flag that had flown over the state Capitol, a proclamation and a "California Hero" license plate.
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