No, the company would have to pay taxes (corporation tax, VAT, etc) only in the UK, and if you personally get something out of the company, like a salary or a share of the profits, then you have to pay income tax or capital gains tax and social security contributions in the country you live in (i.e. Spain).
There is some double taxation of course because the company first pays corporation tax on its profits and then you pay income tax or capital gains tax on any profits you take out of the company. But that is the same regardless of where you live. One way to mitigate this is for your company to pay you a salary.
There is some double taxation of course because the company first pays corporation tax on its profits and then you pay income tax or capital gains tax on any profits you take out of the company. But that is the same regardless of where you live. One way to mitigate this is for your company to pay you a salary.