Try this with start date in C1 and end date in D1:
=COUNTIFS(B2:B1000,">="&C1,B2:B1000,"<"&D1+1)
That won't work for this sheet as below
[TABLE="width: 1065"]
<colgroup><col><col><col><col><col><col><col><col><col><col><col></colgroup><tbody>[TR]
[TD]Farnborough[/TD]
[TD]03/01/2019[/TD]
[TD]Slip. Trip from Height[/TD]
[TD]Employee[/TD]
[TD]Minor[/TD]
[TD][/TD]
[TD]Aberdeen[/TD]
[TD="align: right"]0[/TD]
[TD][/TD]
[TD]Incl HO[/TD]
[TD="align: right"]49[/TD]
[/TR]
[TR]
[TD]Leeds[/TD]
[TD]06/01/2019[/TD]
[TD]Contact with Sharp Object[/TD]
[TD]Employee[/TD]
[TD]Minor[/TD]
[TD][/TD]
[TD]Arnotts[/TD]
[TD="align: right"]0[/TD]
[TD][/TD]
[TD][/TD]
[TD][/TD]
[/TR]
[TR]
[TD]Nottingham[/TD]
[TD]07/01/2019[/TD]
[TD]Hit by Something Stationary[/TD]
[TD]Visitor[/TD]
[TD]Minor[/TD]
[TD][/TD]
[TD]Belfast[/TD]
[TD="align: right"]0[/TD]
[TD][/TD]
[TD]Minor[/TD]
[TD="align: right"]45[/TD]
[/TR]
[TR]
[TD]Nottingham[/TD]
[TD]07/01/2019[/TD]
[TD]Hit by Something Stationary[/TD]
[TD]Visitor[/TD]
[TD]Minor[/TD]
[TD][/TD]
[TD]Birmingham[/TD]
[TD="align: right"]3[/TD]
[TD][/TD]
[TD]Significant[/TD]
[TD="align: right"]3[/TD]
[/TR]
[TR]
[TD]Gateshead[/TD]
[TD]09/01/2019[/TD]
[TD]Slip, fall same level[/TD]
[TD]Employee[/TD]
[TD]Minor[/TD]
[TD][/TD]
[TD]Blanchardstown[/TD]
[TD="align: right"]0[/TD]
[TD][/TD]
[TD]Major[/TD]
[TD="align: right"]1[/TD]
[/TR]
[TR]
[TD]Factory Shop[/TD]
[TD]10/01/2019[/TD]
[TD]Ill Health[/TD]
[TD]Employee[/TD]
[TD]Minor[/TD]
[TD][/TD]
[TD]Bristol[/TD]
[TD="align: right"]1[/TD]
[TD][/TD]
[TD]RIDDOR[/TD]
[TD="align: right"]0[/TD]
[/TR]
[TR]
[TD]Thurrock[/TD]
[TD]17/01/2019[/TD]
[TD]Contact with Sharp Object[/TD]
[TD]Employee[/TD]
[TD]Minor[/TD]
[TD][/TD]
[TD]Cardiff[/TD]
[TD="align: right"]1[/TD]
[TD][/TD]
[TD][/TD]
[TD][/TD]
[/TR]
[TR]
[TD]Birmingham[/TD]
[TD]22/01/2019[/TD]
[TD]Slip. Trip from Height[/TD]
[TD]Visitor[/TD]
[TD]Minor[/TD]
[TD][/TD]
[TD]Croydon[/TD]
[TD="align: right"]0[/TD]
[TD][/TD]
[TD]JAN[/TD]
[TD="align: right"]12[/TD]
[/TR]
[TR]
[TD]Bristol[/TD]
[TD]25/01/2019[/TD]
[TD]Slip, fall same level[/TD]
[TD]Employee[/TD]
[TD]Minor[/TD]
[TD][/TD]
[TD]Dundrum[/TD]
[TD="align: right"]0[/TD]
[TD][/TD]
[TD]FEB[/TD]
[TD="align: right"]0[/TD]
[/TR]
[TR]
[TD]Thurrock[/TD]
[TD]25/01/2019[/TD]
[TD]Hit by something Moving/Falling[/TD]
[TD]Visitor[/TD]
[TD]Minor[/TD]
[TD][/TD]
[TD]Edinburgh[/TD]
[TD="align: right"]0[/TD]
[TD][/TD]
[TD]MAR[/TD]
[TD][/TD]
[/TR]
[TR]
[TD]Stockton[/TD]
[TD]26/01/2019[/TD]
[TD]Hit by Something Stationary[/TD]
[TD]Visitor[/TD]
[TD]Minor[/TD]
[TD][/TD]
[TD]Fareham[/TD]
[TD="align: right"]2[/TD]
[TD][/TD]
[TD]APR[/TD]
[TD][/TD]
[/TR]
[TR]
[TD]Preston[/TD]
[TD]27/01/2019[/TD]
[TD]Other[/TD]
[TD]Visitor[/TD]
[TD]Minor[/TD]
[TD][/TD]
[TD]Farnborough[/TD]
[TD="align: right"]1[/TD]
[TD][/TD]
[TD]MAY[/TD]
[TD][/TD]
[/TR]
[TR]
[TD]Liverpool[/TD]
[TD]03/02/2019[/TD]
[TD]Slip. Trip from Height[/TD]
[TD]Visitor[/TD]
[TD]Minor[/TD]
[TD][/TD]
[TD]Gateshead[/TD]
[TD="align: right"]1[/TD]
[TD][/TD]
[TD]JUN[/TD]
[TD][/TD]
[/TR]
[TR]
[TD]Leamington Spa[/TD]
[TD]03/02/2019[/TD]
[TD]Manual Handling[/TD]
[TD]Employee[/TD]
[TD]Minor[/TD]
[TD][/TD]
[TD]Glasgow[/TD]
[TD="align: right"]0[/TD]
[TD][/TD]
[TD]JUL[/TD]
[TD][/TD]
[/TR]
[TR]
[TD]Stratford[/TD]
[TD]04/02/2019[/TD]
[TD]Assault-Physical[/TD]
[TD]Employee[/TD]
[TD]Major[/TD]
[TD][/TD]
[TD]Hull[/TD]
[TD="align: right"]0[/TD]
[TD][/TD]
[TD]AUG[/TD]
[TD][/TD]
[/TR]
[TR]
[TD]Fareham[/TD]
[TD]04/02/2019[/TD]
[TD]Trapped between Something[/TD]
[TD]Employee[/TD]
[TD]Minor[/TD]
[TD][/TD]
[TD]Leamington Spa[/TD]
[TD="align: right"]2[/TD]
[TD][/TD]
[TD]SEPT[/TD]
[TD][/TD]
[/TR]
[TR]
[TD]Thurrock[/TD]
[TD]06/02/2019[/TD]
[TD]Manual Handling[/TD]
[TD]Employee[/TD]
[TD]Minor[/TD]
[TD][/TD]
[TD]Leeds[/TD]
[TD="align: right"]2[/TD]
[TD][/TD]
[TD]OCT[/TD]
[TD][/TD]
[/TR]
[TR]
[TD]Lincoln[/TD]
[TD]19/02/2019[/TD]
[TD]Hit by Something Stationary[/TD]
[TD]Visitor[/TD]
[TD]Minor[/TD]
[TD][/TD]
[TD]Lincoln[/TD]
[TD="align: right"]1[/TD]
[TD][/TD]
[TD]NOV[/TD]
[TD][/TD]
[/TR]
[TR]
[TD]Southampton[/TD]
[TD]19/02/2019[/TD]
[TD]Other[/TD]
[TD]Employee[/TD]
[TD]Minor[/TD]
[TD][/TD]
[TD]Liverpool[/TD]
[TD="align: right"]2[/TD]
[TD][/TD]
[TD]DEC[/TD]
[TD][/TD]
[/TR]
</tbody>[/TABLE]