Answer:
False.
Step-by-step explanation:
Interlude is derived from Latin word 'interludium', inter means 'between' and ludus means 'play. ' So, interlude is the pause between the plays. Historical meaning of interlude is "a short and humor play that is played between the play or in the pause of the plays."
The career of Shakespeare started with writing plays for London theater. It is unknown when did Shakespeare started writing but it is known that some of his plays were staged in London theater by 1592. Some of earliest plays written by him are Henry 1 (Part 1,2 and 3), Titus Andronicus and The Two Gentlemen of Verona.
So, it is false to say that Shakespeare career started with writing interludes.