Has Scotland created Companies like the East India Company?
Yes, although nothing as powerful as the East India Company. Like the OTL the current major players in the colonial and trading game are the English, Spanish, French, Dutch and Portuguese. Scotland is very much a second tier player in the colonial game, at least for now.
Currently Scotland has two main trading companies. The first being the Company of Scotland (sometimes referred to as the St Lawrence Company), which is responsible for the colony of Nova Scotia and Scotland's growing tobacco trade in the West Indies and Americas (there's a little about this company in the article of the Dissolution). The second being the relatively new Scottish East India Company, which is effectively responsible for all Scottish trade east of the Cape of Good Hope. Despite the name, the company currently has very little trade with India, and is actually more focused on trade with China and the Indonesian Islands.
There are smaller trading companies that are deeply involved in the Atlantic Slave trade (Scotland's trade networks are heavily linked to the slave trade), most based out of the Gulf of Guinea and operating under the supervision of the Royal New Guinea Company.
A form of this kinda happened in the OTL, in the sense that when the Irish became independent under the Irish Free State, the British Monarch remained King of Ireland for about 15 years, and there was substational support for keeping the Monarchy. The history of England and Ireland's Union is now going to be very different, because without Scotland in the union, the importance of Ireland will be more substational in the early 19th century.I am forecasting FAR into the future, but since it's just going to be England and Ireland from now on. Perhaps this idea will get more traction here in England than in OTL.
The Resurrection of Hungary - Wikipedia
en.wikipedia.org
Essentially, the founder of Sinn Fein proposed an "Anglo-Irish dual Monarchy" type along the lines of Austria-Hungary with him arguing that the Irish could learn from the Hungarians playing hardball with the Austrians to get co-equal status and replicate it in their own country with regard to England. With Scotland out of the picture, this arrangement could be a lot more likely.