This will depend on whether you have what is known as a ‘retention of title' clause in your contract and whether it is valid. It may permit you to do so but only if you are able to gain access lawfully. You should not delay in any way – or you may be too late.
You may have a claim for misrepresentation or breach of contract against the vendor of the business and possibly against your advisers in respect of any assurances and statements made, but your right to claim for these is likely to have been limited by the agreements you entered into.
You may have a claim for what is known as passing off and obtain an injunction, but you will need to show that they are causing you loss and that the purchasers of your goods are being misled by the other business.
Yes, if you can show you are entitled to the name and, normally, have been using it longer than the competitor.