Nice pictures! They really helped.
You have:
1) an outbound PRI dedicated to the Dialer
2) PRI for the PBX (Office Use/DIDs)
3) Tie Line: PBX<---->Dialer (Agent Access)
4) Tie Line: PBX<---->Dialer (Blended lines from pbx into dialer; transferred/routed calls from ACD, auto-attendant, etc...)
