With your data setup like that, you can use the MATCH function to get the row number:
=MATCH(1,INDEX(($A$1:$A$6="id2")*($B$1:$B$6="day1"),),0)
If there are no matches for those criteria, the formula will return an #N/A error. You can also change the criteria to be cell references, for example:
=MATCH(1,INDEX(($A$1:$A$6=F1)*($B$1:$B$6=G1),),0)
For the second part of your question, returning values with the found row number, you can use the INDEX function to return a value from a column. So pretending the Match formula is in cell H1, these two formulas will return the value from column C and D respectively:
=INDEX($C$1:$C$6,H1)
=INDEX($D$1:$D$6,H1)
Alternately, you could put it all into a single formula:
=INDEX($C$1:$C$6,MATCH(1,INDEX(($A$1:$A$6=F1)*($B$1:$B$6=G1),),0))
And if you don't want to be looking at errors, you can use an IFERROR on excel 2007+
=IFERROR(INDEX($C$1:$C$6,MATCH(1,INDEX(($A$1:$A$6=F1)*($B$1:$B$6=G1),),0)),"No Matches")
Error checking for Excel 2003 and below:
=IF(ISNA(MATCH(1,INDEX(($A$1:$A$6=F1)*($B$1:$B$6=G1),),0)),"No Matches",INDEX($C$1:$C$6,MATCH(1,INDEX(($A$1:$A$6=F1)*($B$1:$B$6=G1),),0)))
[EDIT]: I am including a VBA solution per user request. This uses a find loop, which is very efficient and flexible, and shows how to extract values from other columns once a match has been found:
Sub tgr()
Dim rngFound As Range
Dim strFirst As String
Dim strID As String
Dim strDay As String
strID = "id2"
strDay = "day1"
Set rngFound = Columns("A").Find(strID, Cells(Rows.Count, "A"), xlValues, xlWhole)
If Not rngFound Is Nothing Then
strFirst = rngFound.Address
Do
If LCase(Cells(rngFound.Row, "B").Text) = LCase(strDay) Then
'Found a match
MsgBox "Found a match at: " & rngFound.Row & Chr(10) & _
"Value in column C: " & Cells(rngFound.Row, "C").Text & Chr(10) & _
"Value in column D: " & Cells(rngFound.Row, "D").Text
End If
Set rngFound = Columns("A").Find(strID, rngFound, xlValues, xlWhole)
Loop While rngFound.Address <> strFirst
End If
Set rngFound = Nothing
End Sub