When using a router table, you should always feed right to left.
Whenever possible, you should use the fence when using a router table.
If you're unable to maintain 4" from the router bit/cutter, you will need to use a push stick, jig, or fixture.
You may make adjustment to the router without permission as long as you know how to do it.
You do not need both hands in contact with your work piece/board at all times.
You need to keep your piece flat against the table (and fence if one is being used).