I am making a custom footprint for a component. However if I use the component then Eagle doesn't auto route any connections to that component. Does anyone have any ideas?
Enable 'show grid' and check whether there are grid points on your pads. If not, the autorouter can't reach them. Solution: select a finer (routing!) grid.
I'm willing to bet that you put the outline for the component into the Dimension layer, which is really only for the board outline. Put it in the tDoc layer, or something like that.
I did the exact same thing, once upon a time, and it was very frustrating.