Error is on
Me!Test_1 = PrevForm
It is saying no such field as Test_1 ?
You are looking at the form with the button to open the form with that control on it. 
So set that control the same way you are setting all those other controls?
Code:
Private Sub Command_Add_Hive_Insp_Click() 'Adds a new Hive Inspection to the Apiary that is currently shown
PrevForm = Me.Name
RefRecordID = Me.Log_Inspection_ID
Forms!F_Log_Inspection_Apiary_Detail.Visible = False
DoCmd.OpenForm "F_Log_Inspection_Hive_Entry_Edit", acNormal, "", "", acFormAdd, , PrevForm
Forms!F_Log_Inspection_Hive_Entry_Edit!Link_to_Log_Inspection_ID_Isd.Value = RefRecordID
Forms!F_Log_Inspection_Hive_Entry_Edit!BP_Link_to_Inspection_ID.Value = Forms!F_Log_Inspection_Hive_Entry_Edit!Log_Inspection_Detail_ID
Forms!F_Log_Inspection_Hive_Entry_Edit!BS_Link_to_Inspection_ID.Value = Forms!F_Log_Inspection_Hive_Entry_Edit!Log_Inspection_Detail_ID
Forms!F_Log_Inspection_Hive_Entry_Edit!HP_Link_to_Inspection_ID.Value = Forms!F_Log_Inspection_Hive_Entry_Edit!Log_Inspection_Detail_ID
Forms!F_Log_Inspection_Hive_Entry_Edit!QC_Link_to_Inspection_ID.Value = Forms!F_Log_Inspection_Hive_Entry_Edit!Log_Inspection_Detail_ID
DoCmd.Close acForm, "PrevForm"
'Me!Test_2.Value = RefRecordID
'Me.Test_1 = PrevForm
End Sub
Along the lines of
Forms!F_Log_Inspection_Hive_Entry_Edit!Test_1 = PrevForm
Oh and DoCmd.Close acForm, "PrevForm" is going to try and close a form by that name, which does not exist. 
You are using PrevForm as a literal and not a variable.