Familiarize yourself with the alcohol monopoly in Sweden
Regarding the wine, you should familiarize yourself with the Swedish alcohol monopoly: In Sweden, only Systembolaget is allowed to sell wine. This means you first need to get the wine into Hungary legally (not sure about the legal requirements for that although you will have to pay duty). Then you have 3 options for getting the wine into Sweden:
a) Swedish customers come to Hungary, buy their wine as walk-in customers, then take it back to Sweden. VAT jurisdiction is in Hungary, customers must pay alcohol tax on their wine if they take it back to Sweden. This route used to be illegal in former times, but ECJ has ruled that it must be allowed. Culturally, this may still be considered a break of taboo in Sweden but it is legal. Customers have to pay a special tax in Sweden on their wine.
b) Wine is ordered remotely (online) and shipped straight to the Swedish customers. VAT jurisdiction in this case is in Sweden but the competent tax authority for collecting Swedish VAT is Hungary (One-Stop-Shop) because that's where you ship from. Customers still have to pay alcohol tax on their import. This route used to be illegal, but ECJ ruled that it must be allowed. Culturally, it may still be considered a breach of taboo.
c) You sell the wine through a retailer in Sweden. Due to the Swedish alcohol monopoly, this means that the only retailer you can sell to is Systembolaget. Systembolaget has a statutory obligation to order wine from you as soon as one of their customers says they want to buy it, so you'll definitely get in touch with Systembolaget at some point. Since Systembolaget is VAT registered, you will need to use VAT Reversal, i. e. you issue an invoice to Systembolaget which doesn't include VAT but explicitly states that the buyer has an obligation to declare and pay Swedish VAT themselves. (Once Systembolaget has duly declared and paid VAT on their order, they can have it refunded as input tax.)
As for the honey and the cheese, I have to admit that I'm not exactly familiar with food safety regulations but rules will probably be less strict than for the wine.