Need help with mail

I tried mass email on my new server, and didn't receive naything to my forum account, so I went into cPanel to check my email accounts. and found that none of the emails were sent.
I have about 2000 members for starters.
The reply I got was:
I do see I can only email 250 and hour.
But what is with the first several?
Is there a problem, or is this just because of exceeding my limits?
I have about 2000 members for starters.
The reply I got was:
This message was created automatically by mail delivery software.
A message that you sent could not be delivered to one or more of its
recipients. This is a permanent error. The following address(es) failed:
[url=mailto:baggyjeans123@usa-11.com]baggyjeans123@usa-11.com[/url]
SMTP error from remote mail server after RCPT TO:<baggyjeans123>:
host sitemail.everyone.net [216.200.145.235]:
550 Recipient Rejected: Account Inactive
[url=mailto:naomi.reeve@comcast.com]naomi.reeve@comcast.com[/url]
SMTP error from remote mail server after RCPT TO:<naomi>:
host mx3.comcast.com [24.40.8.248]: 550 Mailbox unavailable or access denied - <naomi>
[url=mailto:gravitykills52000@att.net]gravitykills52000@att.net[/url]
SMTP error from remote mail server after RCPT TO:<gravitykills52000>:
host scc-mailrelay.att.net [204.127.208.75]: 550 [SUSPEND] Mailbox currently suspended - Please contact correspondent directly
[url=mailto:oscarmain1@hotmail.com]oscarmain1@hotmail.com[/url]
SMTP error from remote mail server after RCPT TO:<oscarmain1>:
host mx4.hotmail.com [65.54.245.104]: 550 Requested action not taken:
mailbox unavailable
[url=mailto:tnt995@hotmail.com]tnt995@hotmail.com[/url]
SMTP error from remote mail server after RCPT TO:<tnt995>:
host mx4.hotmail.com [65.54.245.104]: 550 Requested action not taken:
mailbox unavailable
[url=mailto:breckdemers@hotmail.com]breckdemers@hotmail.com[/url]
(ultimately generated from [url=mailto:breckdemers@hotmail.com]breckdemers@hotmail.com[/url]
(ultimately generated from [url=mailto:stuffupforgrab@hotmail.com]stuffupforgrab@hotmail.com[/url]
(ultimately generated from [url=mailto:24hrsatellites@live.ca]24hrsatellites@live.ca[/url]
(ultimately generated from [url=mailto:joeydeplum@hotmail.com]joeydeplum@hotmail.com[/url]
Domain aaquacks.com has exceeded the max emails per hour (250) allowed. Message discarded.
<a>revrolet@netzero.net</a>
Domain aaquacks.com has exceeded the max emails per hour (250) allowed. Message discarded.
I do see I can only email 250 and hour.
But what is with the first several?
Is there a problem, or is this just because of exceeding my limits?