Are you becoming a limited company or a sole-trader. I wouldn't bother patenting or registering trademarks unless you like lawyers. Ignore the government, they are a bit busy at the mo. HMRC will want a tax return and you really need to decide whether your turnover will exceed £70,000 in which case you need to charge VAT.
You can become a registered company for ~£50 but you need to produce accounts for Companies House.
You can become a registered company for ~£50 but you need to produce accounts for Companies House.