I was the legal guardian for my mother before she passed away, so I know how hard it is. While a romance and closeness with a beau might seem like a good distraction, you can also get good support from friends and relatives, if possible. Your emotions are running high already, so complicating that with lovers and the kind of comfort they can give could muck things up even more, especially if there are any unresolved issues. You have enough drama going on, you don't need more!
Have you looked into seeing if there are any support groups for caregivers in your area? Usually that is something that is made available by organizations, hospitals, or town and county social services departments -- and often free or low-cost. You are very young to be going through this and perhaps a more structured system of support would be more helpful than what a lover can provide.
The world opens up... when you do.
Oh, oh, can't you see? Love is the drug for me. ~Bryan Ferry
"Love is that condition in which another person's happiness is essential to your own." ~Robert Heinlein