This is the BOL reference to [taking files and filegroup backups][1] and [restoring file and filegroup backups][2].
The backup strategy your suggest I don't think you will every see used in a real world environment. I have not done or used file group backups but understand restores can be time consuming and get complicated quickly.
So for (Q3), keeping with your strategy, that filegroup fails on Wednesday your are SOL. In order to even take a [differential file backup you are required to have a full file backup as a base][3] to start from. So your job to take the diff backup would fail anyway and you would not have a backup to go from which would then require you to do a full restore of the whole database.
To fully restore the database will require the full database backup and your logs, in your strategy. The filegroup backups can only be used to restore that filegroup fully, not the full database. So if that is true and you loose the whole thing you will restore the last full backup (taken every 3 months) and every log backup since that full (taken every 5 hours). That means at least 144 log backups for each 30-day month (x3 depending on when the failure occurred within the 3 month period) would need to be restored.
[1]: http://msdn.microsoft.com/en-us/library/ms179401.aspx
[2]: http://msdn.microsoft.com/en-us/library/ms190710.aspx
[3]: http://msdn.microsoft.com/en-us/library/ms190939.aspx
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