Ok, how does this look:
I decided I didn't want to rely on the internal pulldown so added one. The cascaded relay is no longer present, instead driven by a transistor that should have no problem driving the coil. Snub diodes have also been added.
I'm not sure how to go about removing the power switch relay alltogether and replacing it with a transistor to short the contact... do you mind giving me a few pointers with that?