I am not sure that I would claim for dance shoes. If I did, I would want documents to prove the shoes were never used for anything but dance and they were required by the job.
Nix on the clothing, of course.
Sound system, not a problem as long as it's not transportable. If it is, see above.
There are all the costs incurred on this trade before you started trading, which you can bring forward.
Advertising, printing.
Working from home (room utility costs for session mixes)
Land line phone, apportioned.
Arguably, use of computer (accounts, marketing, social media) cost apportioned.
Maybe if you took students at home you might be able to establish home as a place of work and therefore claim costs of travel from place of work A to place of work B
If you create losses you can offset them against PAYE income.
Don't forget the 1k trading allowance