On the new system, I restored from the backup ovirt engine 4.1. Restored without errors
engine-backup --mode=restore --file=file_name --log=log_file_name --provision-db --provision-dwh-db --restore-permissions
 
Also restored /etc/pki from backup. I did not know what should be the rights to the folders, now they are:
drwxr-xr-x. 7 root            root             213 мар 21 06:17 CA
drwxr-xr-x. 4 root            root              73 мар 20 23:53 ca-trust
drwxr-xr-x. 2 root            root             123 мар 21 06:17 fwupd
drwxr-xr-x. 2 root            root              92 мар 21 06:17 fwupd-metadata
drwxr-xr-x. 2 root            root              21 мар 20 23:53 java
drwxr-xr-x. 2 root            root             103 мар 20 23:53 nssdb
drwxr-xr-x. 2 root            root              30 мар 20 23:53 nss-legacy
drwxr-xr-x. 6 ovirt           ovirt           4,0K мар 21 05:49 ovirt-engine
drwxr-xr-x. 2 ovirt-vmconsole ovirt-vmconsole  142 окт 14  2016 ovirt-vmconsole
drwxr-xr-x. 2 root            root             243 мар 21 06:17 rpm-gpg
drwxr-xr-x. 2 root            root               6 окт 31 08:08 rsyslog
drwxr-xr-x. 5 root            root             104 мар 21 06:17 tls
 
in the ovirt-engine directory for all files, the owner is ovirt, for the ovirt-vmconsole directory for all files is the owner for ovirt-vmconsole

I can connect to the web interface at "https://FQDN/ovirt-engine", I can log in using my login/password, but the Data Center is not active. Here is what it writes in the engine.log:
 
2019-03-21 16:03:02,029+09 INFO  [org.ovirt.vdsm.jsonrpc.client.reactors.ReactorClient] (SSL Stomp Reactor) [] Connecting to ovirt-n1.vs.jak/192.168.0.6
2019-03-21 16:03:04,386+09 ERROR [org.ovirt.engine.core.vdsbroker.monitoring.HostMonitoring] (DefaultQuartzScheduler9) [5ecc17d5] Failure to refresh host 'ovirt-n1.vs.jak' runtime info: org/apache/commons/lang/StringUtils
2019-03-21 16:03:04,387+09 ERROR [org.ovirt.engine.core.utils.timer.SchedulerUtilQuartzImpl] (DefaultQuartzScheduler9) [5ecc17d5] Failed to invoke scheduled method onTimer: null
2019-03-21 16:03:04,419+09 INFO  [org.ovirt.vdsm.jsonrpc.client.reactors.ReactorClient] (SSL Stomp Reactor) [] Connecting to ovirt-n2.vs.jak/192.168.0.7
2019-03-21 16:03:05,487+09 ERROR [org.ovirt.engine.core.vdsbroker.monitoring.HostMonitoring] (DefaultQuartzScheduler10) [8bfc0e5] Failure to refresh host 'ovirt-n2.vs.jak' runtime info: org/apache/commons/lang/StringUtils
2019-03-21 16:03:05,488+09 ERROR [org.ovirt.engine.core.utils.timer.SchedulerUtilQuartzImpl] (DefaultQuartzScheduler10) [8bfc0e5] Failed to invoke scheduled method onTimer: null
2019-03-21 16:03:07,436+09 ERROR [org.ovirt.engine.core.vdsbroker.monitoring.HostMonitoring] (DefaultQuartzScheduler9) [5e8dcb07] Failure to refresh host 'ovirt-n1.vs.jak' runtime info: org/apache/commons/lang/StringUtils
2019-03-21 16:03:07,437+09 ERROR [org.ovirt.engine.core.utils.timer.SchedulerUtilQuartzImpl] (DefaultQuartzScheduler9) [5e8dcb07] Failed to invoke scheduled method onTimer: null
2019-03-21 16:03:08,521+09 ERROR [org.ovirt.engine.core.vdsbroker.monitoring.HostMonitoring] (DefaultQuartzScheduler10) [486f9b4] Failure to refresh host 'ovirt-n2.vs.jak' runtime info: org/apache/commons/lang/StringUtils
2019-03-21 16:03:08,521+09 ERROR [org.ovirt.engine.core.utils.timer.SchedulerUtilQuartzImpl] (DefaultQuartzScheduler10) [486f9b4] Failed to invoke scheduled method onTimer: null