[ubuntu] cron not running?

I have the following set up in my crontab:

Code:

# crontab -l # m h dom mon dow command */5 * * * * /usr/bin/perl /usr/local/bin/perl/managed_arp_data.pl >> /var/log/arpdb.log */5 * * * * /usr/bin/perl /usr/local/bin/perl/infoblox_fixed_sync.pl >> /var/log/crossref.log 00 23 * * * /usr/bin/perl /usr/local/bin/perl/infoblox_host_sync.pl >> /var/log/host_sync.log 0 * * * * /usr/bin/perl /usr/local/bin/perl/infoblox_excl_sync.pl >> /var/log/excl_sync.log

None of these jobs is apparently running, however they did run on the 31st (yesterday), but not on the 30th or any other day during the last 10 days that I have logs for. I think I've set cron to run at log level 1, but I don't know where that log goes, I don't see anything like /var/log/cron

So, couple questions:

* If I do something like "sudo -s" to get a root prompt and then do a "crontab -e", which user does that crontab get executed as?

* Where should I look for cron logs?

* Anyone know why a job would run on the 31st, but not any other day?