It's your 11b motion, if you're arguing that the previous adjournment was the result of the crown's actions. Provide the courts with transcripts proving this.
There could be a new justice of peace, and prosecutor dealing with you on the new date. Even if they were the same, they'll have little to zero recollection of what transpired on your earlier appearance.
My experience with 11b applications has always been to include transcripts of previous appearances. The costs depend on how long your previous appearances were, and how much was said on the record. If it was a simple adjournment it may cost less than $15 for three copies.
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Lets say you choose the frugal route and try to advance your 11b motion w/o transcripts. At some point the JP could stop the proceedings and adjourn so that you can provide the courts with proper transcripts.
If there's a new adjournment due to lack of transcripts, the delay will not only be attributed to you... but now you'll have to pay for even more transcripts.