Hello, I am Keith, one of the experts on Just Answer, and pleased to be able to help you with your question.
You personally will not be liable for Swedish taxation if you spend under 183 days in the country.
Using your UK company in Sweden can cause you problems [source Wikipedia]:
'A foreign company conducting business in Sweden, whether a natural or a legal person, may become taxable for VAT, employer´s contributions and/or income tax. The company should then apply for registration at the Swedish Tax Agency, and may apply for a Swedish F-tax certificate.
In the ‘Tax application for foreign entrepreneurs´ brochure and form, SKV 419 and SKV 4632 respectively, there is information on how to submit the application.'
The Swedish Tax Office gives full guidance here:
If, of course, the company is not conducting business in Sweden you do not have to worry about this. Sweden, as you may know, is one of the most highly taxed countries in the world. In comparison the UK is a tax haven!
As for the purchase of equipment for the aeriel photography business this is not allowable as expenses. It would go through the Capital Allowances regime as plant and machinery. At the moment it is effectively the same as the allowance on any purchase up to 500K is an Annual Investment Allowance at 100%. This window closes on 31 December 2015.
I do hope that my reply has shed some light on the situation.