try putting the two if criteria in one if ... so...
StrProject = DLookup("Project", "qryExistingEntries", "[Project] = """ & Forms![frmSummarizedActualRsrcData]!Project & """")
StrName = DLookup("Name", "qryExistingEntries", "[Name] = """ & Forms![frmSummarizedActualRsrcData]!Name & """")
If...