No, QuickFile cannot print cheques I’m sorry. I suspect you may have been having difficulties in finding the answer to your question here because of the spelling (check vs. cheque), and I don’t think this question has come up previously (and therefore no one has answered it).
To answer your question on whether QuickFile is suitable for you, our software has been designed for UK based companies. While we offer the option to create invoices in USD, amongst other currencies, all reporting will still be done for GBP and inline with the UK tax system. If that’s not a concern, then you’re certainly welcome to sign up and give it a go - all accounts have a free period from the date they start, regardless of their size.