Hello and welcome to PC!
I am not a professional by any means, but these feelings of loneliness and thinking of love seem perfectly natural...especially for a 14 year old.
Do you enjoy being homeschooled? Would you ever consider attending high school?
Also, are you in any extra-curricular activities? Perhaps if you were part of a group/club outside of the home, you would be able to socialize with others who have similar interests. Volunteering can also be a good way to get out of your shell.