Hello Phil, I'm still learning too, so I'll take a stab at what I see in your GuideLog. Hopefully the PHD2 experts will be around later and we'll both learn a bit more.
Anyway, I reckon things are looking pretty well OK with your new mount and with a little experience, I'd say you're good to go. Your first guiding session achieved RMS 1.10" over the 2h20m run which isn't so bad taking into account the loss of the guide star. Your Calibration at Dec 52.5 degrees for this and the subsequent session hasn't made things too easy for guiding.You'll see in the User Manual and the Best Practices Guide that you really need to Calibrate on or close to the Celestial Equator (Dec 0 degrees) and near your meridian.
However, the three hour second session was rather better giving and overall RMS of 0.74". This was despite losing the guide star every few minutes (yellow line).

Don't know whether this was due to cloud or an inappropriate star mass setting - the gurus will know.
It might be worth reading up on Periodic Error reduction. This is the RA movement over the three hours.
And here's the frequency analysis of the above.

You have around 5.6 arcsec Peak-Peak of native worm gear (?) error, which isn't too bad and PHD2 does cope, but any reduction at source might show a benefit.
I'd strongly suggest doing a Baseline Calibration session over say six worm cycles and posting the logs.
I wish my LX200 gave results this good! (Still working on it).
Cheers.
- Jack