Nope to all of those. The Goths under Theoderic paid lip service to the Emperor in Constantinople to keep the Roman elite on board. There were two law codes, one for
Romans and one for Goths.
Even before the official collapse the western half hardly had any of these.
The Goths who took Italy for themselves were infact the army of the Western Empire which was basically dead for years now.
The Gothic king simply realized that there was no point in pretending anymore and just decided he’d rather be a ‘vassal’ of the emperor in Constantinople than have his own emperor in Ravenna.
The Goths actually left the local Romans to themselves in general the power of the senate in Rome possibly even increased during the period cause they were no in charge of the Latin population who were still governed by a separate law code to that of the Germans.
Did they continue paying taxes? Was the military under the control of the Roman emperor? Did they maintain the road linkages and postal service between the Eastern and Western halves of the empire?