I fixed the slow charge
Google Search was the problem child. I stopped it and the charging took off. I restarted the app, just because I like it, and it hasnt caused a problem since.
Now for the battery drain, it has only slightly improved. It lasted about 15 hours yesterday with very very light use. Today I let it charge an extra 12 hours and cross my fingers it has only discharged 4 percent with about 30 minutes of talk time and two hours off charger.