Is it possible to get the list of all past (historical) transactions quickly?
As I can see now - I can only get the count of transactions for account (using nonce number), but how can I get all these transactions in order to show to the user?
No, as far as I know neither geth nor parity provide this option. You will have to use a service like the etherscan api. There are versions of etherscan for all major testnets and the mainnet.
Is it possible to get the list of all past (historical) transactions quickly? As I can see now - I can only get the count of transactions for account (using nonce number), but how can I get all these transactions in order to show to the user?