On a frosty pitch at Castle Field, there were first team debuts for two new arrivals in Jack Smyth and James Shipman.
It was all square at half time. However Banks scored his first on the hour mark and added a second goal four minutes from time to take all three points.
Oldland now travel to Wincanton on Saturday hoping to reverse the recent run of poor results.
Team: Perry, Sarre, Bamford, Douglas, Hendy, Hutton, Harris, Allen, Hawkins, Smyth, Shipman
Subs: Planter, Davies (used), Lewton (unused)