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Defender Ben Gorham got the only goal as Faversham edged out Southern Counties East League Premier Division rivals Fisher 1-0 in the first qualifying round on Saturday.
Hat-trick hero Harvey Smith led the way for Whitstable in their 4-1 victory at Corinthian-Casuals.
Josh Oliver had got Jamie Coyle’s team level on 55 minutes before striker Smith decided the tie with three goals inside 13 minutes towards the death.
Lordswood saw off hosts Banstead Athletic 4-2.
Elliott Duncan got Nicky Southall’s side level after the hosts had gone ahead, Jarred Trespaderne making it 2-1 on 80 minutes, only for Banstead to level it up again five minutes later.
But substitute Quadri Green converted two minutes from time and then wrapped things up in injury time.
Their Medway rivals, Hollands & Blair, also progressed, winning 3-0 at home against AFC Varndenians.
Taylor Fisher gave them the lead in the 17th minute and two second-half goals by vastly-experienced forward Dean Grant made sure of the result.
Bearsted proved too strong for Bexhill United as they beat them 5-2 at home.
An eventful first period left them 3-2 up, Connor French, Jesse Darko and Jason Banton all on target.
After the break, Darko promptly added a second and William Johnson-Cole made sure shortly after the hour mark.
Lydd beat hosts Bridon Ropes 3-0 through goals by Luke Burdon and Sam Adams after a first-half own goal.
Kennington were 2-0 FA Vase victors at home to Loxwood.
Their goals came from midfielder Bradley Walledge and forward Fin Dent - both on dual registration from Isthmian Premier Folkestone - in the space of two first-half minutes.
Early Southern Counties East Premier Division leaders VCD recovered well after Westside’s first-minute goal to earn a 4-1 win.
Nathaniel Olawole bagged a brace, one in either half, after George Whitelock had quickly levelled things.
VCD substitute Wale Odedoyin got his first goal of the season in stoppage-time to put the icing on the cake for the Vickers.
Corinthian went out, beaten on penalties at home to Tooting & Mitcham.
Alexander Jack Billings had his first-half goal cancelled out in the early stages after the interval, the visitors were able to win the shootout 5-4.
Snodland were 1-0 losers at Peacehaven & Telscombe while Punjab United were another to go out on penalties after a 1-1 draw at Balham.
Cruis Nyadzayo put Chipie Sian’s side ahead and Balham were even reduced to 10 men before half-time, only to grab a late equaliser and then come out 4-2 winners on penalties.
Erith & Belvedere went through as they won 4-3 in the shootout following a goalless draw.
Striker Steadman Callender’s quickfire first-half double put Rusthall in control - but they still ended up being beaten 3-2 at home to Division 1 Soul Tower Hamlets.
Early Southern Counties East Division 1 frontrunners Faversham Strike Force were 4-3 winners at Salters Lane against Uckfield Town.
Tom Barton’s second goal of the afternoon proved the difference, Harry O’Donnell and Jack Sayer also having been on target for Strike Force in the first half, alongside Barton.
Three quickfire goals for Rochester United saw them edge a five-goal game at Abbey Rangers.
Liam Wilkins, Max Morgan and Tom Webb all scored for Rochester before the game was even 20 minutes old.
In another high-scoring affair, Staplehurst saw off Forest Row 5-3.
An own goal initially put them ahead before Kieran Pallet, Ed Rosetti, Dan Ashton and Luke Adams all got in on the act while Forest Row ended the game without goalkeeper Kieran Newman on the pitch as he was sent off in the 79th minute.