Answer:
a) in fact (additionally, moreover)
b) for instance (for example)
Step-by-step explanation:
To find the best transition we must first infer the context of the sentences.
First sentence claims the Elizabethan London (London in the epoch of Queen Elizabeth) is a perfect place for a time traveler. Next sentence gives more information on the Queen. That means that the best transition could be achieved with "in fact", "also", "moreover", "additionally" etc.
Third sentence states that the Queen was accomplished public speaker and the next sentence gives an example of one of her speeches. That means that the best transition could be use of "for example", "for instance" etc.