Viharas were for the purpose of living, Chaityas were assemblies for the purpose of discussions. Further, Chaityas were with Stupas, Viharas did not have stupas.
The Satavahanas dynasty is also known in history for starting the practice of giving royal grants of land. These royal grants were given to Brahmanas and Buddhist monks, including those associated with tax exemptions.
First statement is incorrect because though the traces of Pallava and Chalukya temple architecture are available, but its construction is generally attributed to the 8th century Rashtrakuta dynasty. The second statement is also incorrect because the temple is a complete dravida building