Non-league outfit Chesham United and National League South side Whitehawk have caused the two big upsets in Sunday's FA Cup first-round fixtures, beating League Two Bristol Rovers and National League Lincoln City respectively.
Chesham missed a first-half opportunity to take the lead as Rovers keeper Lee Nicholls saved Dave Pearce's penalty, but Ryan Blake's low second-half strike from 25 yards evaded the Pirates' keeper to claim victory for the seventh-tier side.
Whitehawk were another side to cause an upset in an eight-goal thriller against Chris Moyses' Lincoln.
Sam Deering struck for the Hawks after 58 minutes before Rhead recorded his brace to keep the Imps within reach.
Dave Martin put the gap at two for the third time in the 86th minute before Rhead notched his hat-trick, but a late Sam Deering penalty saw Whitehawk run out 5-3 winners.
Wycombe Wanderers put four goals past National League side Halifax Town, with Garry Thompson's first-half effort added to with strikes from Sido Jombati, Max Kretzschmar and Aaron Amadi-Holloway in the second period.
League Two team Yeovil Town coped with the sending off of two players, in the form of Jakub Sokolik and keeper Artur Krysiak, to record a hard-fought 1-0 victory over National League South side Maidstone United.
Sokolik saw red after just seven minutes, with Krysiak getting his marching orders in the 57th minute, sandwiching Wes Fogden's 55th-minute winner.
League One Shrewsbury Town edged past National League North Gainsborough Trinity thanks to a 71st-minute strike from Irishman James Collins.
Exeter City avoided a potential cup upset by recording a comfortable 3-0 victory over non-league Didcot, the lowest-ranked side playing in the FA Cup first round.
Former Ireland international Clinton Morrison opened the scoring for the Grecians in the 48th minute, with Tom Nichols and Alex Nicholls also netting for the League Two side.
Results in full: Didcot Town 0-3 Exeter City, Aldershot 0-0 Bradford City, Brackley Town 2-2 Newport County, Braintree Town 1-1 Oxford United, Bristol Rovers 0-1 Chesham United, Gainsborough Trinity 0-1 Shrewsbury Town, Halifax Town 0-4 Wycombe Wanderers, Maidstone United 0-1 Yeovil, Whitehawk 5-3 Lincoln City, Port Vale 1-1 Maidenhead United