you backup using rman script, you also restore using rman script
to start oracle restore from GUI, you need additional tuning both in NetBackup and in Oracle - for detail, see manual page - it's much easier to do rman restore than trying to set up GUI restore environment
about the vaulting - check if you are including the oracle volume pool in the vault profile, or, even before that, check if you are including the oracle backup policy/clients in the selection criteria in vault profile
Abe