Reapply 3515: use SendTransactionService::new_with_client in rpc

[KirillLykov]

Problem

Use SendTransactionService::new_with_client everywhere and deprecated new and new_with_config.

This PR finished reapplying changes from reverted #3515

Summary of Changes

[mergify]

If this PR represents a change to the public RPC API:

1. Make sure it includes a complementary update to rpc-client/ (example)
2. Open a follow-up PR to update the JavaScript client @solana/web3.js (example)

Thank you for keeping the RPC clients in sync with the server API @KirillLykov.

[KirillLykov]

CI failure seems to be unrelated to my changes

[mergify]

Backports to the beta branch are to be avoided unless absolutely necessary for fixing bugs, security issues, and perf regressions. Changes intended for backport should be structured such that a minimum effective diff can be committed separately from any refactoring, plumbing, cleanup, etc that are not strictly necessary to achieve the goal. Any of the latter should go only into master and ride the normal stabilization schedule. Exceptions include CI/metrics changes, CLI improvements and documentation updates on a case by case basis.