the newest elder scrolls game (skyrim) was released in 2011, if you get the oldest version of skyrim your computer will probably be fine, skyrim special edition and anniversary edition are a bit harder to guess about. oblivion and morrowind will run fine, i ran those on my horrible school laptop easily.
I haven't heard of any mods that would allow you to put a hat on your pig friend sorry. If you were willing to put in the work yourself, your best bet would be a resource pack that uses optifines CEM feature to change the pigs model to have a hat, and then a name tag on your desired pig to change its texture to be hatted :). You would have to get optiforge working for optifine to work alongside your mods, but its a client-side thing, so you dont have to worry about the server.