Oracle Database Discussions

Someone please shed some lights on this problem.

I ran into some media failure, and ended up restoring the database from the offline whole backup.
The database is in the nonarchivelog mode (I know, it is not good), so there is no archive log files and
restore database is the only solution.
. startup mount
. restore database <== ran ok
. ALTER DATABASE CLEAR LOGFILE GROUP 1 <== ran ok
. ALTER DATABASE CLEAR LOGFILE GROUP 2 <== alter failed
ORA-01624: log 2 needed for crash recovery of instance orcl (thread 1)

Alter failed with group 2 and 3 because one was CURRENT,
and one was ACTIVE.

SQL> select group#, sequence#, members, status from v$log;

GROUP# SEQUENCE# MEMBERS STATUS
---------- ---------- ---------- ----------------
1 0 2 UNUSED
3 189 2 CURRENT
2 188 2 ACTIVE

I also tried 'alter database open resetlogs', and got:
ORA-01139: RESETLOGS option only valid after an incomplete database recovery
I don't think I can recover the datafile since there is no archive log file here.
Besides, if the restore database ran fine, why did I get SYSTEM01.DBF datafile needs media recovery message?

Right now, the database is in mount mode, and I cannot open it. How do I solve the problem with
ALTER DATABASE CLEAR LOGFILE GROUP for group 2 and 3?

Any suggestion? Thank you for the input.
The database is 11G running on Window.