Hi,
The reverse charge would apply if your business belongs in the UK and you would complete the boxes on your VAT return as you have stated. However, if you are a n established taxable business, then your business will not belong in the UK and so the reverse charge will not apply. The guidance states:
The reverse charge applies where:
The place of supply is the UK
The supplier belongs outside the UK
You belong in the UK
The supply is not exempt (this includes exempt supplies subject to an option to tax)
For supplies not within the general rule, you’re VAT registered in the UK
You can see guidance here:
Reverse charge
Non-established taxable persons — basic information
Thank you.