It's highly likely that you can improve your handwriting. We have a guide available to help you, but the first step is almost always to slow down while you are writing. Taking a slower approach allows you to smooth out your writing and make fewer mistakes. Happy writing!
Maybe! There are a number of types of handwriting. Depending on curriculum, students may (or may not) be required to slant their handwriting. That said, it's something that is subjective. Do you have a natural slant? Is it legible (easy to read)? Then it's probably fine!
This is very difficult to say objectively. However, learning to write by hand is shown to improve hand-eye coordination and motor dexterity, making it a very beneficial skill.
There are professionals who devote their careers to "reading" what goes into handwriting. There is an entire field, called "forensic analysis" that seems to lend clues into certain motivations of people who wrote in certain ways, during certain situations.
It's also generally accepted that certain traits, like messy handwriting can point to things, like intelligence.
If you mean by connected that the letters connect and flow, there is cursive handwriting. Cursive is where all the letters of a word connect, creating a flowing writing style. We also have a cursive writing hub, to help you if you'd like to find out more about it!