No problem! The server you're on is stable; it's in our newest datacenter and there hasn't been any recent outages/restarts on it. Your Apache instance however is shared with other users on different accounts, so the hung processes could be caused by any number of reasons. It could be something on your end, or it could be caused by another user on the same Apache service. The best thing we can do, if you continue to experience issues, is try moving you to another Apache instance on the same server, and if you still have issues, we can better try to determine if the issue is with your site.
This thread also has some insight from many of our customers on the Apache issue.
2) Unfortunately you cannot restart Apache yourself since you're on shared hosting.