Almost anything from the self-contained Merseyrail network to outside, really.
Although Bache to either of these would require a reversal, so it would be unlikely there would be a service even if Merseyrail weren't such a self-contained network.
I doubt (although may be corrected) that there was a Hooton-Wrexham or north Wales service before the Merseyrail services moved down to Chester.
No, but there is a direct line with no reversal, and signalled for passenger services, which is why I thought them worthy of this thread!