I get the following error message whenever I try to send an e-mail message via the website:

java.sql.SQLException: []xp_sendmail: failed with mail error 0x8004010f

The database is moved to a new server, and this might be the problem.
It seems that I have to rerun any scripts build on the XPs on the new server, but I don't know how. Someone else set this database up, and I can't reach him at the moment. I don't even know if there are scripts that should be rerun.

The issue with the XP_Sendmail. Check your version Of SQL and you have the latest service pack, make sure user has the privileges to run it.

This may be also:

Since you moved from server to another. script the jobs by right clicking and selecting generate scripts. run it against your new server. Make sure modification are made to for existing operators if you have any installed. Try using the same account as your SQL serveragent. Since this account usually has the permission and privileges to run proc and other services.