The InfluxDB Debug Logging does not seem to contain errors:
2020-02-19 00:28:37.083 [DEBUG] [org.apache.felix.configadmin ] - Adding configuration org.openhab.influxdb
2020-02-19 00:28:43.755 [DEBUG] [org.apache.felix.configadmin ] - getConfiguration(pid=org.openhab.influxdb, location=null)
2020-02-19 00:28:43.756 [DEBUG] [org.apache.felix.configadmin ] - Found cached configuration org.openhab.influxdb bound to null
2020-02-19 00:28:44.947 [DEBUG] [org.osgi.framework.ServiceEvent ] - ServiceEvent REGISTERED - {org.openhab.core.karaf.internal.FeatureInstaller, org.osgi.service.cm.ConfigurationListener}={package=minimal, service.id=234, service.bundleid=160, service.scope=bundle, binding=astro,enocean,harmonyhub,heos,homematic,hue,network,samsungtv,somfytahoma,weather1,zigbee, persistence=influxdb,mapdb, transformation=map, component.name=org.openhab.addons, service.config.label=Add-on Management, component.id=104, ui=basic,paper,dashboard,, service.config.category=system, service.config.description.uri=system:addons, service.pid=org.openhab.addons}
2020-02-19 00:28:47.759 [DEBUG] [pse.xtext.util.OnChangeEvictingCache] - Clear 24 cache entries for resource tmp_influxdb.persist after 41 hits and 24 misses (quota: 63%)
2020-02-19 00:28:47.761 [INFO ] [el.core.internal.ModelRepositoryImpl] - Loading model 'influxdb.persist'
2020-02-19 00:28:48.706 [DEBUG] [org.osgi.framework.ServiceEvent ] - ServiceEvent REGISTERED - {org.eclipse.smarthome.config.core.ConfigOptionProvider, org.eclipse.smarthome.core.persistence.PersistenceServiceRegistry}={service.id=256, default=influxdb, service.bundleid=181, service.scope=bundle, service.config.category=system, service.pid=[org.eclipse.smarthome.persistence, org.eclipse.smarthome.persistence], service.config.label=Persistence, component.name=org.eclipse.smarthome.core.persistence.internal.PersistenceServiceRegistryImpl, service.config.description.uri=system:persistence, component.id=137}
2020-02-19 00:29:02.047 [DEBUG] [mpl.info.InfoBundleTrackerCustomizer] - Ignore incorrect info null provided by bundle org.openhab.persistence.influxdb
2020-02-19 00:29:02.055 [DEBUG] [org.apache.felix.configadmin ] - listConfigurations(filter=(|(service.factoryPid=org.openhab.influxdb)(service.factoryPid=org.openhab.influxdb|org.openhab.persistence.influxdb)(service.factoryPid=org.openhab.influxdb|org.openhab.persistence.influxdb|1.14.0)(service.factoryPid=org.openhab.influxdb|org.openhab.persistenceinfluxdb|1.14.0|mvn:org.openhab.persistence/org.openhab.persistence.influxdb/[1.14.0,1.15\))))
2020-02-19 00:29:02.056 [DEBUG] [org.apache.felix.configadmin ] - Listing configurations matching (|(service.factoryPid=org.openhab.influxdb)(service.factoryPid=org.openhab.influxdb|org.openhab.persistence.influxdb)(service.factoryPid=org.openhab.influxdb|org.openhab.persistence.influxdb|1.14.0)(service.factoryPid=org.openhab.influxdb|org.openhab.persistence.influxdb|1.14.0|mvn:org.openhab.persistence/org.openhab.persistence.influxdb/[1.14.0,1.15\)))
2020-02-19 00:29:02.058 [DEBUG] [org.apache.felix.configadmin ] - listConfigurations(filter=(|(service.pid=org.openhab.influxdb)(service.pid=org.openhab.influxdb|org.openhab.persistence.influxdb)(service.pid=org.openhab.influxdb|org.openhab.persistence.influxdb|1.14.0)(service.pid=org.openhab.influxdb|org.openhab.persistence.influxdb|1.14.0|mvn:org.openhab.persistence/org.openhab.persistence.influxdb/[1.14.0,1.15\))))
2020-02-19 00:29:02.061 [DEBUG] [org.apache.felix.configadmin ] - Listing configurations matching (|(service.pid=org.openhab.influxdb)(service.pid=org.openhab.influxdb|org.openhab.persistence.influxdb)(service.pid=org.openhab.influxdb|org.openhab.persistence.influxdb|1.14.0)(service.pid=org.openhab.influxdb|org.openhab.persistence.influxdb|1.14.0|mvn:org.openhab.persistence/org.openhab.persistence.influxdb/[1.14.0,1.15\)))
2020-02-19 00:29:02.064 [DEBUG] [org.apache.felix.configadmin ] - Adding configuration org.openhab.influxdb
2020-02-19 00:29:02.067 [DEBUG] [org.apache.felix.configadmin ] - Registering service [org.osgi.service.cm.ManagedService, id=403, bundle=247/mvn:org.openhab.persistence/org.openhab.persistence.influxdb/[1.14.0,1.15)]
2020-02-19 00:29:02.579 [DEBUG] [org.osgi.framework.ServiceEvent ] - ServiceEvent REGISTERED - {org.openhab.core.persistence.PersistenceService, org.openhab.core.persistence.QueryablePersistenceService}={service.id=404, service.bundleid=247, service.scope=bundle, user=openhab, url=http://127.0.0.1:8086, component.name=org.openhab.persistence.influxdb, component.id=255, password=<mypassword>, retentionPolicy=autogen, service.pid=org.openhab.influxdb, db=openhab_db}
Also on the InfluxDB side no errors in the log file.
When I change any configuration value to a wrong value, the logging throws me connectivity errors. So I assume that the connection to the influxdb is established without errors.