I've got a long answer, and then a short answer for each of your points.
1. The news server has been paused pending 7.6.2 which is expected next week. There should be no issue if you login to the command line to initialize the upgrade as the upgrade file is still on the support site (the news update was paused to save people from upgrading twice). You have the right command for upgrading, it will lead to a prompt for username and password for your support account.
# start_amp_upgrade -v 7.6.1
-In short, yes, you can manually upgrade with the above command.
2. AMP restore doesn't restore IP information. This was the solution for customers who are performing hardware migrations or cloning AMPs for a large multi-AMP deployment. Also, AMP requires you to input the network information at the amp-install step which is needed prior to performing the restore as the network information needs to be present to get the backup file back onto the server. Here's a list of things in the actual backup: logs, firmware files, database, flat file (rrd), license key, ntp, and mail relay. Though the license key is in the backup, you may need to re-apply it. The license key backup is located in /alternative. If you're using the same hardware, the fresh install wipes the existing data requiring input of IP address and license key.
-There's no special flag, so you will have to input the IP and licensing info.
3. The completion of the restore process yields an AMP with the data gathered up to the point of the backup from which the restore was initialized. This means all clients up to the backup point, all devices, all settings for groups and polling, all AMP users, all report definitions, past run reports, client historical data, etc. It also restores the data maintained in the graphs. One gotcha of the restore process is if you're using remote authentication for AMP access. You may have to login as a local AMP admin user, go into AMP Setup -> Authentication -> and reinput the RADIUS / TACACS / LDAP secret password. Once that's done, it should work as it did before.
-All data that was present on the AMP at time of backup should be restored. May need to update IP tables or any cronjobs created. Files in /tmp are not backed up.
Let me know if there's anything that needs further details.