Was Austrian Influence in Germany Re-established by 1850?

No. By 1850, Austrian influence in Germany had not been re-established. Instead, Prussia had emerged as the dominant German power, and Austria was excluded from the newly formed German Confederation (the Erfurt Union scheme failed, and the Olmütz Agreement restored the Austrian-led German Confederation but without real Austrian hegemony). The stage was set for Prussian-led unification under Bismarck in the following decades.