RMAN

Check the status of the database backups for the past 7 days

Run this one from sys on the database server

set pages 100
set lines 200
col operation   for a12
col backup_type for a27
col start_time  for a17
col end_time    for a17
col duration    for 90.99
col days_ago    for 90

select vrbsd.operation
,      vrbsd.command_id                              backup_type
,      to_char(vrbsd.start_time,'DD-MON-YY HH24:MI') start_time
,      to_char(vrbsd.end_time,'DD-MON-YY HH24:MI')   end_time
,      vrbsd.status                                  status
,      (vrbd.elapsed_seconds/3600)                   duration
,      trunc(sysdate)-trunc(vrbsd.start_time)        days_ago
from   v$rman_backup_job_details     vrbd
,      v$rman_backup_subjob_details  vrbsd
where  1=1
and    vrbd.session_key = vrbsd.session_key
and    vrbd.input_type='DB INCR'
and    vrbsd.start_time > sysdate -8
order  by vrbsd.start_time desc

Check the status of the database backups from the RMAN catalog

Run this one from the RMAN catalog server

select s.db_name
,      s.status
,      max(s.start_time) start_time
,      max(round(s.mbytes_processed/1024))  "processed_data(GB)"
,      max(round((end_time-start_time)*60*24)) "duration(min)"
,      trunc(sysdate)-trunc(s.start_time)   days_since_last_backup
from   rc_rman_status s 
where  1=1
and    lower(s.operation)   = 'backup'
and    lower(s.object_type) ='db full'
and    s.start_time =
       (
       select max(md.start_time)
       from   rc_rman_status md 
       where  1=1
       and    lower(md.operation)   = 'backup'
       and    lower(md.object_type) ='db full'
       and    md.db_name = s.db_name
       )
group  by s.db_name
,      s.object_type
,      s.operation
,      s.status
,      trunc(sysdate)-trunc(s.start_time)
order  by trunc(sysdate)-trunc(s.start_time) desc

Which tapes are the backups on?

Not really necessary as RMAN can work it out but if you need to know...

select media
, to_char(completion_time,'DD-MON-YYYY HH24:MI:SS') backed_up
from   rc_backup_piece
where  1=1
and    db_id           = 4053457814
and    completion_Time > sysdate - 2
order  by 2