As I understand your rules of succession, not necessarily. Your VP could stay a VP and the Speaker could bypass her, straight to the Presidency.
No.
If china joe resigns, there is no constitutional provision for anyone but the vice president to become president. The new president cannot then vote as President of the Senate to break ties.
For someone else to become president (next in line, under current law, is the speaker), both china joe and kameltoe would have to be removed. In that case as well, kameltoe would no longer be President of the Senate, possessing a tie-breaking vote.
Until the new president nominated, and congress confirmed, a new vice president, there would be no one to break tie votes.
And I’m not altogether sure that the current speaker would smooth the way for a new vice president, as she may have designs on the Oval Office, herself. At 81 years old, it would be a heck of a way to finish her career.